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What is the Least Common Multiple of 25602 and 25616?

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 25602 and 25616 is 327910416.

LCM(25602,25616) = 327910416

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Least Common Multiple of 25602 and 25616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25602 and 25616, than apply into the LCM equation.

GCF(25602,25616) = 2
LCM(25602,25616) = ( 25602 × 25616) / 2
LCM(25602,25616) = 655820832 / 2
LCM(25602,25616) = 327910416

Least Common Multiple (LCM) of 25602 and 25616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25602 and 25616. First we will calculate the prime factors of 25602 and 25616.

Prime Factorization of 25602

Prime factors of 25602 are 2, 3, 17, 251. Prime factorization of 25602 in exponential form is:

25602 = 21 × 31 × 171 × 2511

Prime Factorization of 25616

Prime factors of 25616 are 2, 1601. Prime factorization of 25616 in exponential form is:

25616 = 24 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 25602 and 25616.

LCM(25602,25616) = 24 × 31 × 171 × 2511 × 16011
LCM(25602,25616) = 327910416