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What is the Least Common Multiple of 57130 and 57135?

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 57130 and 57135 is 652824510.

LCM(57130,57135) = 652824510

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Least Common Multiple of 57130 and 57135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57130 and 57135, than apply into the LCM equation.

GCF(57130,57135) = 5
LCM(57130,57135) = ( 57130 × 57135) / 5
LCM(57130,57135) = 3264122550 / 5
LCM(57130,57135) = 652824510

Least Common Multiple (LCM) of 57130 and 57135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57130 and 57135. First we will calculate the prime factors of 57130 and 57135.

Prime Factorization of 57130

Prime factors of 57130 are 2, 5, 29, 197. Prime factorization of 57130 in exponential form is:

57130 = 21 × 51 × 291 × 1971

Prime Factorization of 57135

Prime factors of 57135 are 3, 5, 13, 293. Prime factorization of 57135 in exponential form is:

57135 = 31 × 51 × 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 57130 and 57135.

LCM(57130,57135) = 21 × 51 × 291 × 1971 × 31 × 131 × 2931
LCM(57130,57135) = 652824510