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What is the Least Common Multiple of 25133 and 25142?

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 25133 and 25142 is 631893886.

LCM(25133,25142) = 631893886

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Least Common Multiple of 25133 and 25142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25133 and 25142, than apply into the LCM equation.

GCF(25133,25142) = 1
LCM(25133,25142) = ( 25133 × 25142) / 1
LCM(25133,25142) = 631893886 / 1
LCM(25133,25142) = 631893886

Least Common Multiple (LCM) of 25133 and 25142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25133 and 25142. First we will calculate the prime factors of 25133 and 25142.

Prime Factorization of 25133

Prime factors of 25133 are 41, 613. Prime factorization of 25133 in exponential form is:

25133 = 411 × 6131

Prime Factorization of 25142

Prime factors of 25142 are 2, 13, 967. Prime factorization of 25142 in exponential form is:

25142 = 21 × 131 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 25133 and 25142.

LCM(25133,25142) = 411 × 6131 × 21 × 131 × 9671
LCM(25133,25142) = 631893886