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What is the Least Common Multiple of 25102 and 25117?

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 25102 and 25117 is 630486934.

LCM(25102,25117) = 630486934

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Least Common Multiple of 25102 and 25117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25102 and 25117, than apply into the LCM equation.

GCF(25102,25117) = 1
LCM(25102,25117) = ( 25102 × 25117) / 1
LCM(25102,25117) = 630486934 / 1
LCM(25102,25117) = 630486934

Least Common Multiple (LCM) of 25102 and 25117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25102 and 25117. First we will calculate the prime factors of 25102 and 25117.

Prime Factorization of 25102

Prime factors of 25102 are 2, 7, 11, 163. Prime factorization of 25102 in exponential form is:

25102 = 21 × 71 × 111 × 1631

Prime Factorization of 25117

Prime factors of 25117 are 25117. Prime factorization of 25117 in exponential form is:

25117 = 251171

Now multiplying the highest exponent prime factors to calculate the LCM of 25102 and 25117.

LCM(25102,25117) = 21 × 71 × 111 × 1631 × 251171
LCM(25102,25117) = 630486934