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What is the Least Common Multiple of 6067 and 6078?

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 6067 and 6078 is 36875226.

LCM(6067,6078) = 36875226

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Least Common Multiple of 6067 and 6078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6067 and 6078, than apply into the LCM equation.

GCF(6067,6078) = 1
LCM(6067,6078) = ( 6067 × 6078) / 1
LCM(6067,6078) = 36875226 / 1
LCM(6067,6078) = 36875226

Least Common Multiple (LCM) of 6067 and 6078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6067 and 6078. First we will calculate the prime factors of 6067 and 6078.

Prime Factorization of 6067

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 60671

Prime Factorization of 6078

Prime factors of 6078 are 2, 3, 1013. Prime factorization of 6078 in exponential form is:

6078 = 21 × 31 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 6067 and 6078.

LCM(6067,6078) = 60671 × 21 × 31 × 10131
LCM(6067,6078) = 36875226