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What is the Least Common Multiple of 25118 and 25124?

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 25118 and 25124 is 315532316.

LCM(25118,25124) = 315532316

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Least Common Multiple of 25118 and 25124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25118 and 25124, than apply into the LCM equation.

GCF(25118,25124) = 2
LCM(25118,25124) = ( 25118 × 25124) / 2
LCM(25118,25124) = 631064632 / 2
LCM(25118,25124) = 315532316

Least Common Multiple (LCM) of 25118 and 25124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25118 and 25124. First we will calculate the prime factors of 25118 and 25124.

Prime Factorization of 25118

Prime factors of 25118 are 2, 19, 661. Prime factorization of 25118 in exponential form is:

25118 = 21 × 191 × 6611

Prime Factorization of 25124

Prime factors of 25124 are 2, 11, 571. Prime factorization of 25124 in exponential form is:

25124 = 22 × 111 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 25118 and 25124.

LCM(25118,25124) = 22 × 191 × 6611 × 111 × 5711
LCM(25118,25124) = 315532316