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What is the Least Common Multiple of 6051 and 6068?

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 6051 and 6068 is 36717468.

LCM(6051,6068) = 36717468

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Least Common Multiple of 6051 and 6068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6051 and 6068, than apply into the LCM equation.

GCF(6051,6068) = 1
LCM(6051,6068) = ( 6051 × 6068) / 1
LCM(6051,6068) = 36717468 / 1
LCM(6051,6068) = 36717468

Least Common Multiple (LCM) of 6051 and 6068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6051 and 6068. First we will calculate the prime factors of 6051 and 6068.

Prime Factorization of 6051

Prime factors of 6051 are 3, 2017. Prime factorization of 6051 in exponential form is:

6051 = 31 × 20171

Prime Factorization of 6068

Prime factors of 6068 are 2, 37, 41. Prime factorization of 6068 in exponential form is:

6068 = 22 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 6051 and 6068.

LCM(6051,6068) = 31 × 20171 × 22 × 371 × 411
LCM(6051,6068) = 36717468