Lcm of 64 112 114

Answer: The Prime Factorization is: 2 x 2 x 2 x 2 x 2 x 2 In Exponential Form: 26 CSV Format: 2, 2, 2, 2, 2, 2 Prime Factors Tree 64 / \ 2 32 / \ 2 16 / \ 2 8 / \ 2 4 / \ 2 2 Prime[1] = 2 Factorization in 1.001358e-5 seconds

List all prime factors for each number.

<a href="https://www.calculatorsoup.com/calculators/math/prime-factors.php?x=64&tree=true&action=solve" target="_blank">Prime Factorization of 64</a> is:
2 x 2 x 2 x 2 x 2 x 2  =>  2⁶

<a href="https://www.calculatorsoup.com/calculators/math/prime-factors.php?x=112&tree=true&action=solve" target="_blank">Prime Factorization of 112</a> is:
2 x 2 x 2 x 2 x 7  =>  2⁴ x 7¹

<a href="https://www.calculatorsoup.com/calculators/math/prime-factors.php?x=114&tree=true&action=solve" target="_blank">Prime Factorization of 114</a> is:
2 x 3 x 19  =>  2¹ x 3¹ x 19¹

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is
2, 2, 2, 2, 2, 2, 3, 7, 19

Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 = 25536

In exponential form:
LCM = 2⁶ x 3¹ x 7¹ x 19¹ = 25536
LCM = 25536

Therefore, LCM(64, 112, 114) = 25,536

Given answer argent