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What is the Least Common Multiple of 6062 and 6081?

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 6062 and 6081 is 36863022.

LCM(6062,6081) = 36863022

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Least Common Multiple of 6062 and 6081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6062 and 6081, than apply into the LCM equation.

GCF(6062,6081) = 1
LCM(6062,6081) = ( 6062 × 6081) / 1
LCM(6062,6081) = 36863022 / 1
LCM(6062,6081) = 36863022

Least Common Multiple (LCM) of 6062 and 6081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6062 and 6081. First we will calculate the prime factors of 6062 and 6081.

Prime Factorization of 6062

Prime factors of 6062 are 2, 7, 433. Prime factorization of 6062 in exponential form is:

6062 = 21 × 71 × 4331

Prime Factorization of 6081

Prime factors of 6081 are 3, 2027. Prime factorization of 6081 in exponential form is:

6081 = 31 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 6062 and 6081.

LCM(6062,6081) = 21 × 71 × 4331 × 31 × 20271
LCM(6062,6081) = 36863022