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What is the Least Common Multiple of 56995 and 57005?

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 57005 is 649799995.

LCM(56995,57005) = 649799995

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Least Common Multiple of 56995 and 57005 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 57005, than apply into the LCM equation.

GCF(56995,57005) = 5
LCM(56995,57005) = ( 56995 × 57005) / 5
LCM(56995,57005) = 3248999975 / 5
LCM(56995,57005) = 649799995

Least Common Multiple (LCM) of 56995 and 57005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56995 and 57005. First we will calculate the prime factors of 56995 and 57005.

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 57005

Prime factors of 57005 are 5, 13, 877. Prime factorization of 57005 in exponential form is:

57005 = 51 × 131 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 56995 and 57005.

LCM(56995,57005) = 51 × 113991 × 131 × 8771
LCM(56995,57005) = 649799995