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What is the Least Common Multiple of 51137 and 51151?

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 51137 and 51151 is 2615708687.

LCM(51137,51151) = 2615708687

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Least Common Multiple of 51137 and 51151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51137 and 51151, than apply into the LCM equation.

GCF(51137,51151) = 1
LCM(51137,51151) = ( 51137 × 51151) / 1
LCM(51137,51151) = 2615708687 / 1
LCM(51137,51151) = 2615708687

Least Common Multiple (LCM) of 51137 and 51151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51137 and 51151. First we will calculate the prime factors of 51137 and 51151.

Prime Factorization of 51137

Prime factors of 51137 are 51137. Prime factorization of 51137 in exponential form is:

51137 = 511371

Prime Factorization of 51151

Prime factors of 51151 are 51151. Prime factorization of 51151 in exponential form is:

51151 = 511511

Now multiplying the highest exponent prime factors to calculate the LCM of 51137 and 51151.

LCM(51137,51151) = 511371 × 511511
LCM(51137,51151) = 2615708687