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What is the Least Common Multiple of 56995 and 57003?

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 56995 and 57003 is 3248885985.

LCM(56995,57003) = 3248885985

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Least Common Multiple of 56995 and 57003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56995 and 57003, than apply into the LCM equation.

GCF(56995,57003) = 1
LCM(56995,57003) = ( 56995 × 57003) / 1
LCM(56995,57003) = 3248885985 / 1
LCM(56995,57003) = 3248885985

Least Common Multiple (LCM) of 56995 and 57003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56995 and 57003. First we will calculate the prime factors of 56995 and 57003.

Prime Factorization of 56995

Prime factors of 56995 are 5, 11399. Prime factorization of 56995 in exponential form is:

56995 = 51 × 113991

Prime Factorization of 57003

Prime factors of 57003 are 3, 19001. Prime factorization of 57003 in exponential form is:

57003 = 31 × 190011

Now multiplying the highest exponent prime factors to calculate the LCM of 56995 and 57003.

LCM(56995,57003) = 51 × 113991 × 31 × 190011
LCM(56995,57003) = 3248885985