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What is the Least Common Multiple of 56577 and 56583?

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 56577 and 56583 is 1067098797.

LCM(56577,56583) = 1067098797

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Least Common Multiple of 56577 and 56583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56577 and 56583, than apply into the LCM equation.

GCF(56577,56583) = 3
LCM(56577,56583) = ( 56577 × 56583) / 3
LCM(56577,56583) = 3201296391 / 3
LCM(56577,56583) = 1067098797

Least Common Multiple (LCM) of 56577 and 56583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56577 and 56583. First we will calculate the prime factors of 56577 and 56583.

Prime Factorization of 56577

Prime factors of 56577 are 3, 18859. Prime factorization of 56577 in exponential form is:

56577 = 31 × 188591

Prime Factorization of 56583

Prime factors of 56583 are 3, 6287. Prime factorization of 56583 in exponential form is:

56583 = 32 × 62871

Now multiplying the highest exponent prime factors to calculate the LCM of 56577 and 56583.

LCM(56577,56583) = 32 × 188591 × 62871
LCM(56577,56583) = 1067098797