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What is the Least Common Multiple of 12111 and 12125?

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 12111 and 12125 is 146845875.

LCM(12111,12125) = 146845875

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Least Common Multiple of 12111 and 12125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12111 and 12125, than apply into the LCM equation.

GCF(12111,12125) = 1
LCM(12111,12125) = ( 12111 × 12125) / 1
LCM(12111,12125) = 146845875 / 1
LCM(12111,12125) = 146845875

Least Common Multiple (LCM) of 12111 and 12125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12111 and 12125. First we will calculate the prime factors of 12111 and 12125.

Prime Factorization of 12111

Prime factors of 12111 are 3, 11, 367. Prime factorization of 12111 in exponential form is:

12111 = 31 × 111 × 3671

Prime Factorization of 12125

Prime factors of 12125 are 5, 97. Prime factorization of 12125 in exponential form is:

12125 = 53 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 12111 and 12125.

LCM(12111,12125) = 31 × 111 × 3671 × 53 × 971
LCM(12111,12125) = 146845875