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What is the Least Common Multiple of 57125 and 57130?

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 57130 is 652710250.

LCM(57125,57130) = 652710250

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Least Common Multiple of 57125 and 57130 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 57130, than apply into the LCM equation.

GCF(57125,57130) = 5
LCM(57125,57130) = ( 57125 × 57130) / 5
LCM(57125,57130) = 3263551250 / 5
LCM(57125,57130) = 652710250

Least Common Multiple (LCM) of 57125 and 57130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57125 and 57130. First we will calculate the prime factors of 57125 and 57130.

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 57130

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

57130 = 21 × 51 × 291 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 57125 and 57130.

LCM(57125,57130) = 53 × 4571 × 21 × 291 × 1971
LCM(57125,57130) = 652710250