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What is the Least Common Multiple of 51062 and 51081?

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 51062 and 51081 is 2608298022.

LCM(51062,51081) = 2608298022

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Least Common Multiple of 51062 and 51081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51062 and 51081, than apply into the LCM equation.

GCF(51062,51081) = 1
LCM(51062,51081) = ( 51062 × 51081) / 1
LCM(51062,51081) = 2608298022 / 1
LCM(51062,51081) = 2608298022

Least Common Multiple (LCM) of 51062 and 51081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51062 and 51081. First we will calculate the prime factors of 51062 and 51081.

Prime Factorization of 51062

Prime factors of 51062 are 2, 11, 211. Prime factorization of 51062 in exponential form is:

51062 = 21 × 112 × 2111

Prime Factorization of 51081

Prime factors of 51081 are 3, 17027. Prime factorization of 51081 in exponential form is:

51081 = 31 × 170271

Now multiplying the highest exponent prime factors to calculate the LCM of 51062 and 51081.

LCM(51062,51081) = 21 × 112 × 2111 × 31 × 170271
LCM(51062,51081) = 2608298022