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What is the Least Common Multiple of 25307 and 25316?

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 25307 and 25316 is 640672012.

LCM(25307,25316) = 640672012

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Least Common Multiple of 25307 and 25316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25307 and 25316, than apply into the LCM equation.

GCF(25307,25316) = 1
LCM(25307,25316) = ( 25307 × 25316) / 1
LCM(25307,25316) = 640672012 / 1
LCM(25307,25316) = 640672012

Least Common Multiple (LCM) of 25307 and 25316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25307 and 25316. First we will calculate the prime factors of 25307 and 25316.

Prime Factorization of 25307

Prime factors of 25307 are 25307. Prime factorization of 25307 in exponential form is:

25307 = 253071

Prime Factorization of 25316

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

25316 = 22 × 63291

Now multiplying the highest exponent prime factors to calculate the LCM of 25307 and 25316.

LCM(25307,25316) = 253071 × 22 × 63291
LCM(25307,25316) = 640672012