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What is the Least Common Multiple of 49557 and 49572?

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 49557 and 49572 is 818879868.

LCM(49557,49572) = 818879868

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Least Common Multiple of 49557 and 49572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49557 and 49572, than apply into the LCM equation.

GCF(49557,49572) = 3
LCM(49557,49572) = ( 49557 × 49572) / 3
LCM(49557,49572) = 2456639604 / 3
LCM(49557,49572) = 818879868

Least Common Multiple (LCM) of 49557 and 49572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49557 and 49572. First we will calculate the prime factors of 49557 and 49572.

Prime Factorization of 49557

Prime factors of 49557 are 3, 16519. Prime factorization of 49557 in exponential form is:

49557 = 31 × 165191

Prime Factorization of 49572

Prime factors of 49572 are 2, 3, 17. Prime factorization of 49572 in exponential form is:

49572 = 22 × 36 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 49557 and 49572.

LCM(49557,49572) = 36 × 165191 × 22 × 171
LCM(49557,49572) = 818879868