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What is the Least Common Multiple of 51463 and 51477?

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 51463 and 51477 is 2649160851.

LCM(51463,51477) = 2649160851

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Least Common Multiple of 51463 and 51477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51463 and 51477, than apply into the LCM equation.

GCF(51463,51477) = 1
LCM(51463,51477) = ( 51463 × 51477) / 1
LCM(51463,51477) = 2649160851 / 1
LCM(51463,51477) = 2649160851

Least Common Multiple (LCM) of 51463 and 51477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51463 and 51477. First we will calculate the prime factors of 51463 and 51477.

Prime Factorization of 51463

Prime factors of 51463 are 53, 971. Prime factorization of 51463 in exponential form is:

51463 = 531 × 9711

Prime Factorization of 51477

Prime factors of 51477 are 3, 17159. Prime factorization of 51477 in exponential form is:

51477 = 31 × 171591

Now multiplying the highest exponent prime factors to calculate the LCM of 51463 and 51477.

LCM(51463,51477) = 531 × 9711 × 31 × 171591
LCM(51463,51477) = 2649160851