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What is the Least Common Multiple of 57080 and 57095?

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 57080 and 57095 is 651796520.

LCM(57080,57095) = 651796520

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Least Common Multiple of 57080 and 57095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57080 and 57095, than apply into the LCM equation.

GCF(57080,57095) = 5
LCM(57080,57095) = ( 57080 × 57095) / 5
LCM(57080,57095) = 3258982600 / 5
LCM(57080,57095) = 651796520

Least Common Multiple (LCM) of 57080 and 57095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57080 and 57095. First we will calculate the prime factors of 57080 and 57095.

Prime Factorization of 57080

Prime factors of 57080 are 2, 5, 1427. Prime factorization of 57080 in exponential form is:

57080 = 23 × 51 × 14271

Prime Factorization of 57095

Prime factors of 57095 are 5, 19, 601. Prime factorization of 57095 in exponential form is:

57095 = 51 × 191 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 57080 and 57095.

LCM(57080,57095) = 23 × 51 × 14271 × 191 × 6011
LCM(57080,57095) = 651796520