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What is the Least Common Multiple of 51486 and 51503?

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 51486 and 51503 is 2651683458.

LCM(51486,51503) = 2651683458

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Least Common Multiple of 51486 and 51503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51486 and 51503, than apply into the LCM equation.

GCF(51486,51503) = 1
LCM(51486,51503) = ( 51486 × 51503) / 1
LCM(51486,51503) = 2651683458 / 1
LCM(51486,51503) = 2651683458

Least Common Multiple (LCM) of 51486 and 51503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51486 and 51503. First we will calculate the prime factors of 51486 and 51503.

Prime Factorization of 51486

Prime factors of 51486 are 2, 3, 8581. Prime factorization of 51486 in exponential form is:

51486 = 21 × 31 × 85811

Prime Factorization of 51503

Prime factors of 51503 are 51503. Prime factorization of 51503 in exponential form is:

51503 = 515031

Now multiplying the highest exponent prime factors to calculate the LCM of 51486 and 51503.

LCM(51486,51503) = 21 × 31 × 85811 × 515031
LCM(51486,51503) = 2651683458