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What is the Least Common Multiple of 6077 and 6092?

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 6077 and 6092 is 37021084.

LCM(6077,6092) = 37021084

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Least Common Multiple of 6077 and 6092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6077 and 6092, than apply into the LCM equation.

GCF(6077,6092) = 1
LCM(6077,6092) = ( 6077 × 6092) / 1
LCM(6077,6092) = 37021084 / 1
LCM(6077,6092) = 37021084

Least Common Multiple (LCM) of 6077 and 6092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6077 and 6092. First we will calculate the prime factors of 6077 and 6092.

Prime Factorization of 6077

Prime factors of 6077 are 59, 103. Prime factorization of 6077 in exponential form is:

6077 = 591 × 1031

Prime Factorization of 6092

Prime factors of 6092 are 2, 1523. Prime factorization of 6092 in exponential form is:

6092 = 22 × 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 6077 and 6092.

LCM(6077,6092) = 591 × 1031 × 22 × 15231
LCM(6077,6092) = 37021084