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What is the Least Common Multiple of 11617 and 11625?

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 11617 and 11625 is 135047625.

LCM(11617,11625) = 135047625

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Least Common Multiple of 11617 and 11625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11617 and 11625, than apply into the LCM equation.

GCF(11617,11625) = 1
LCM(11617,11625) = ( 11617 × 11625) / 1
LCM(11617,11625) = 135047625 / 1
LCM(11617,11625) = 135047625

Least Common Multiple (LCM) of 11617 and 11625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11617 and 11625. First we will calculate the prime factors of 11617 and 11625.

Prime Factorization of 11617

Prime factors of 11617 are 11617. Prime factorization of 11617 in exponential form is:

11617 = 116171

Prime Factorization of 11625

Prime factors of 11625 are 3, 5, 31. Prime factorization of 11625 in exponential form is:

11625 = 31 × 53 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 11617 and 11625.

LCM(11617,11625) = 116171 × 31 × 53 × 311
LCM(11617,11625) = 135047625