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What is the Least Common Multiple of 25122 and 25130?

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 25122 and 25130 is 315657930.

LCM(25122,25130) = 315657930

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Least Common Multiple of 25122 and 25130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25122 and 25130, than apply into the LCM equation.

GCF(25122,25130) = 2
LCM(25122,25130) = ( 25122 × 25130) / 2
LCM(25122,25130) = 631315860 / 2
LCM(25122,25130) = 315657930

Least Common Multiple (LCM) of 25122 and 25130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25122 and 25130. First we will calculate the prime factors of 25122 and 25130.

Prime Factorization of 25122

Prime factors of 25122 are 2, 3, 53, 79. Prime factorization of 25122 in exponential form is:

25122 = 21 × 31 × 531 × 791

Prime Factorization of 25130

Prime factors of 25130 are 2, 5, 7, 359. Prime factorization of 25130 in exponential form is:

25130 = 21 × 51 × 71 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 25122 and 25130.

LCM(25122,25130) = 21 × 31 × 531 × 791 × 51 × 71 × 3591
LCM(25122,25130) = 315657930