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What is the Least Common Multiple of 25602 and 25613?

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 25613 is 655744026.

LCM(25602,25613) = 655744026

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Least Common Multiple of 25602 and 25613 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 25613, than apply into the LCM equation.

GCF(25602,25613) = 1
LCM(25602,25613) = ( 25602 × 25613) / 1
LCM(25602,25613) = 655744026 / 1
LCM(25602,25613) = 655744026

Least Common Multiple (LCM) of 25602 and 25613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25602 and 25613. First we will calculate the prime factors of 25602 and 25613.

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 25613

Prime factors of 25613 are 7, 3659. Prime factorization of 25613 in exponential form is:

25613 = 71 × 36591

Now multiplying the highest exponent prime factors to calculate the LCM of 25602 and 25613.

LCM(25602,25613) = 21 × 31 × 171 × 2511 × 71 × 36591
LCM(25602,25613) = 655744026