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What is the Least Common Multiple of 16152 and 16158?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16152 and 16158 is 43497336.

LCM(16152,16158) = 43497336

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Least Common Multiple of 16152 and 16158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16152 and 16158, than apply into the LCM equation.

GCF(16152,16158) = 6
LCM(16152,16158) = ( 16152 × 16158) / 6
LCM(16152,16158) = 260984016 / 6
LCM(16152,16158) = 43497336

Least Common Multiple (LCM) of 16152 and 16158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16152 and 16158. First we will calculate the prime factors of 16152 and 16158.

Prime Factorization of 16152

Prime factors of 16152 are 2, 3, 673. Prime factorization of 16152 in exponential form is:

16152 = 23 × 31 × 6731

Prime Factorization of 16158

Prime factors of 16158 are 2, 3, 2693. Prime factorization of 16158 in exponential form is:

16158 = 21 × 31 × 26931

Now multiplying the highest exponent prime factors to calculate the LCM of 16152 and 16158.

LCM(16152,16158) = 23 × 31 × 6731 × 26931
LCM(16152,16158) = 43497336