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What is the Least Common Multiple of 54915 and 54925?

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 54915 and 54925 is 603241275.

LCM(54915,54925) = 603241275

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Least Common Multiple of 54915 and 54925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54915 and 54925, than apply into the LCM equation.

GCF(54915,54925) = 5
LCM(54915,54925) = ( 54915 × 54925) / 5
LCM(54915,54925) = 3016206375 / 5
LCM(54915,54925) = 603241275

Least Common Multiple (LCM) of 54915 and 54925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54915 and 54925. First we will calculate the prime factors of 54915 and 54925.

Prime Factorization of 54915

Prime factors of 54915 are 3, 5, 7, 523. Prime factorization of 54915 in exponential form is:

54915 = 31 × 51 × 71 × 5231

Prime Factorization of 54925

Prime factors of 54925 are 5, 13. Prime factorization of 54925 in exponential form is:

54925 = 52 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 54915 and 54925.

LCM(54915,54925) = 31 × 52 × 71 × 5231 × 133
LCM(54915,54925) = 603241275