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What is the Least Common Multiple of 12119 and 12124?

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 12119 and 12124 is 146930756.

LCM(12119,12124) = 146930756

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Least Common Multiple of 12119 and 12124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12119 and 12124, than apply into the LCM equation.

GCF(12119,12124) = 1
LCM(12119,12124) = ( 12119 × 12124) / 1
LCM(12119,12124) = 146930756 / 1
LCM(12119,12124) = 146930756

Least Common Multiple (LCM) of 12119 and 12124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12119 and 12124. First we will calculate the prime factors of 12119 and 12124.

Prime Factorization of 12119

Prime factors of 12119 are 12119. Prime factorization of 12119 in exponential form is:

12119 = 121191

Prime Factorization of 12124

Prime factors of 12124 are 2, 7, 433. Prime factorization of 12124 in exponential form is:

12124 = 22 × 71 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 12119 and 12124.

LCM(12119,12124) = 121191 × 22 × 71 × 4331
LCM(12119,12124) = 146930756