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What is the Least Common Multiple of 57125 and 57136?

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 57125 and 57136 is 3263894000.

LCM(57125,57136) = 3263894000

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Least Common Multiple of 57125 and 57136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57125 and 57136, than apply into the LCM equation.

GCF(57125,57136) = 1
LCM(57125,57136) = ( 57125 × 57136) / 1
LCM(57125,57136) = 3263894000 / 1
LCM(57125,57136) = 3263894000

Least Common Multiple (LCM) of 57125 and 57136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57125 and 57136. First we will calculate the prime factors of 57125 and 57136.

Prime Factorization of 57125

Prime factors of 57125 are 5, 457. Prime factorization of 57125 in exponential form is:

57125 = 53 × 4571

Prime Factorization of 57136

Prime factors of 57136 are 2, 3571. Prime factorization of 57136 in exponential form is:

57136 = 24 × 35711

Now multiplying the highest exponent prime factors to calculate the LCM of 57125 and 57136.

LCM(57125,57136) = 53 × 4571 × 24 × 35711
LCM(57125,57136) = 3263894000