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What is the Least Common Multiple of 51237 and 51244?

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 51237 and 51244 is 2625588828.

LCM(51237,51244) = 2625588828

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Least Common Multiple of 51237 and 51244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51237 and 51244, than apply into the LCM equation.

GCF(51237,51244) = 1
LCM(51237,51244) = ( 51237 × 51244) / 1
LCM(51237,51244) = 2625588828 / 1
LCM(51237,51244) = 2625588828

Least Common Multiple (LCM) of 51237 and 51244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51237 and 51244. First we will calculate the prime factors of 51237 and 51244.

Prime Factorization of 51237

Prime factors of 51237 are 3, 5693. Prime factorization of 51237 in exponential form is:

51237 = 32 × 56931

Prime Factorization of 51244

Prime factors of 51244 are 2, 23, 557. Prime factorization of 51244 in exponential form is:

51244 = 22 × 231 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 51237 and 51244.

LCM(51237,51244) = 32 × 56931 × 22 × 231 × 5571
LCM(51237,51244) = 2625588828