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What is the Least Common Multiple of 16116 and 16136?

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 16116 and 16136 is 65011944.

LCM(16116,16136) = 65011944

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Least Common Multiple of 16116 and 16136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16116 and 16136, than apply into the LCM equation.

GCF(16116,16136) = 4
LCM(16116,16136) = ( 16116 × 16136) / 4
LCM(16116,16136) = 260047776 / 4
LCM(16116,16136) = 65011944

Least Common Multiple (LCM) of 16116 and 16136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16116 and 16136. First we will calculate the prime factors of 16116 and 16136.

Prime Factorization of 16116

Prime factors of 16116 are 2, 3, 17, 79. Prime factorization of 16116 in exponential form is:

16116 = 22 × 31 × 171 × 791

Prime Factorization of 16136

Prime factors of 16136 are 2, 2017. Prime factorization of 16136 in exponential form is:

16136 = 23 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 16116 and 16136.

LCM(16116,16136) = 23 × 31 × 171 × 791 × 20171
LCM(16116,16136) = 65011944