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What is the Least Common Multiple of 11606 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 11606 and 11625 is 134919750.

LCM(11606,11625) = 134919750

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Least Common Multiple of 11606 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 11606 and 11625, than apply into the LCM equation.

GCF(11606,11625) = 1
LCM(11606,11625) = ( 11606 × 11625) / 1
LCM(11606,11625) = 134919750 / 1
LCM(11606,11625) = 134919750

Least Common Multiple (LCM) of 11606 and 11625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11606 and 11625. First we will calculate the prime factors of 11606 and 11625.

Prime Factorization of 11606

Prime factors of 11606 are 2, 7, 829. Prime factorization of 11606 in exponential form is:

11606 = 21 × 71 × 8291

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 11606 and 11625.

LCM(11606,11625) = 21 × 71 × 8291 × 31 × 53 × 311
LCM(11606,11625) = 134919750