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What is the Least Common Multiple of 12139 and 12154?

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 12139 and 12154 is 147537406.

LCM(12139,12154) = 147537406

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Least Common Multiple of 12139 and 12154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12139 and 12154, than apply into the LCM equation.

GCF(12139,12154) = 1
LCM(12139,12154) = ( 12139 × 12154) / 1
LCM(12139,12154) = 147537406 / 1
LCM(12139,12154) = 147537406

Least Common Multiple (LCM) of 12139 and 12154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12139 and 12154. First we will calculate the prime factors of 12139 and 12154.

Prime Factorization of 12139

Prime factors of 12139 are 61, 199. Prime factorization of 12139 in exponential form is:

12139 = 611 × 1991

Prime Factorization of 12154

Prime factors of 12154 are 2, 59, 103. Prime factorization of 12154 in exponential form is:

12154 = 21 × 591 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 12139 and 12154.

LCM(12139,12154) = 611 × 1991 × 21 × 591 × 1031
LCM(12139,12154) = 147537406