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What is the Least Common Multiple of 56015 and 56025?

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 56015 and 56025 is 627648075.

LCM(56015,56025) = 627648075

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Least Common Multiple of 56015 and 56025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56015 and 56025, than apply into the LCM equation.

GCF(56015,56025) = 5
LCM(56015,56025) = ( 56015 × 56025) / 5
LCM(56015,56025) = 3138240375 / 5
LCM(56015,56025) = 627648075

Least Common Multiple (LCM) of 56015 and 56025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56015 and 56025. First we will calculate the prime factors of 56015 and 56025.

Prime Factorization of 56015

Prime factors of 56015 are 5, 17, 659. Prime factorization of 56015 in exponential form is:

56015 = 51 × 171 × 6591

Prime Factorization of 56025

Prime factors of 56025 are 3, 5, 83. Prime factorization of 56025 in exponential form is:

56025 = 33 × 52 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 56015 and 56025.

LCM(56015,56025) = 52 × 171 × 6591 × 33 × 831
LCM(56015,56025) = 627648075