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What is the Least Common Multiple of 25351 and 25356?

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 25351 and 25356 is 642799956.

LCM(25351,25356) = 642799956

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Least Common Multiple of 25351 and 25356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25351 and 25356, than apply into the LCM equation.

GCF(25351,25356) = 1
LCM(25351,25356) = ( 25351 × 25356) / 1
LCM(25351,25356) = 642799956 / 1
LCM(25351,25356) = 642799956

Least Common Multiple (LCM) of 25351 and 25356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25351 and 25356. First we will calculate the prime factors of 25351 and 25356.

Prime Factorization of 25351

Prime factors of 25351 are 101, 251. Prime factorization of 25351 in exponential form is:

25351 = 1011 × 2511

Prime Factorization of 25356

Prime factors of 25356 are 2, 3, 2113. Prime factorization of 25356 in exponential form is:

25356 = 22 × 31 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 25351 and 25356.

LCM(25351,25356) = 1011 × 2511 × 22 × 31 × 21131
LCM(25351,25356) = 642799956