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What is the Least Common Multiple of 54486 and 54500?

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 54486 and 54500 is 1484743500.

LCM(54486,54500) = 1484743500

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Least Common Multiple of 54486 and 54500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54486 and 54500, than apply into the LCM equation.

GCF(54486,54500) = 2
LCM(54486,54500) = ( 54486 × 54500) / 2
LCM(54486,54500) = 2969487000 / 2
LCM(54486,54500) = 1484743500

Least Common Multiple (LCM) of 54486 and 54500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54486 and 54500. First we will calculate the prime factors of 54486 and 54500.

Prime Factorization of 54486

Prime factors of 54486 are 2, 3, 1009. Prime factorization of 54486 in exponential form is:

54486 = 21 × 33 × 10091

Prime Factorization of 54500

Prime factors of 54500 are 2, 5, 109. Prime factorization of 54500 in exponential form is:

54500 = 22 × 53 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 54486 and 54500.

LCM(54486,54500) = 22 × 33 × 10091 × 53 × 1091
LCM(54486,54500) = 1484743500