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What is the Least Common Multiple of 25316 and 25336?

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 25316 and 25336 is 160351544.

LCM(25316,25336) = 160351544

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Least Common Multiple of 25316 and 25336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25316 and 25336, than apply into the LCM equation.

GCF(25316,25336) = 4
LCM(25316,25336) = ( 25316 × 25336) / 4
LCM(25316,25336) = 641406176 / 4
LCM(25316,25336) = 160351544

Least Common Multiple (LCM) of 25316 and 25336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25316 and 25336. First we will calculate the prime factors of 25316 and 25336.

Prime Factorization of 25316

Prime factors of 25316 are 2, 6329. Prime factorization of 25316 in exponential form is:

25316 = 22 × 63291

Prime Factorization of 25336

Prime factors of 25336 are 2, 3167. Prime factorization of 25336 in exponential form is:

25336 = 23 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 25316 and 25336.

LCM(25316,25336) = 23 × 63291 × 31671
LCM(25316,25336) = 160351544