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What is the Least Common Multiple of 25117 and 25125?

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 25117 and 25125 is 631064625.

LCM(25117,25125) = 631064625

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Least Common Multiple of 25117 and 25125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25117 and 25125, than apply into the LCM equation.

GCF(25117,25125) = 1
LCM(25117,25125) = ( 25117 × 25125) / 1
LCM(25117,25125) = 631064625 / 1
LCM(25117,25125) = 631064625

Least Common Multiple (LCM) of 25117 and 25125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25117 and 25125. First we will calculate the prime factors of 25117 and 25125.

Prime Factorization of 25117

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

25117 = 251171

Prime Factorization of 25125

Prime factors of 25125 are 3, 5, 67. Prime factorization of 25125 in exponential form is:

25125 = 31 × 53 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 25117 and 25125.

LCM(25117,25125) = 251171 × 31 × 53 × 671
LCM(25117,25125) = 631064625