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What is the Least Common Multiple of 56539 and 56546?

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 56539 and 56546 is 456722042.

LCM(56539,56546) = 456722042

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Least Common Multiple of 56539 and 56546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56539 and 56546, than apply into the LCM equation.

GCF(56539,56546) = 7
LCM(56539,56546) = ( 56539 × 56546) / 7
LCM(56539,56546) = 3197054294 / 7
LCM(56539,56546) = 456722042

Least Common Multiple (LCM) of 56539 and 56546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56539 and 56546. First we will calculate the prime factors of 56539 and 56546.

Prime Factorization of 56539

Prime factors of 56539 are 7, 41, 197. Prime factorization of 56539 in exponential form is:

56539 = 71 × 411 × 1971

Prime Factorization of 56546

Prime factors of 56546 are 2, 7, 577. Prime factorization of 56546 in exponential form is:

56546 = 21 × 72 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 56539 and 56546.

LCM(56539,56546) = 72 × 411 × 1971 × 21 × 5771
LCM(56539,56546) = 456722042