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What is the Least Common Multiple of 12146 and 12156?

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 12146 and 12156 is 73823388.

LCM(12146,12156) = 73823388

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Least Common Multiple of 12146 and 12156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12146 and 12156, than apply into the LCM equation.

GCF(12146,12156) = 2
LCM(12146,12156) = ( 12146 × 12156) / 2
LCM(12146,12156) = 147646776 / 2
LCM(12146,12156) = 73823388

Least Common Multiple (LCM) of 12146 and 12156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12146 and 12156. First we will calculate the prime factors of 12146 and 12156.

Prime Factorization of 12146

Prime factors of 12146 are 2, 6073. Prime factorization of 12146 in exponential form is:

12146 = 21 × 60731

Prime Factorization of 12156

Prime factors of 12156 are 2, 3, 1013. Prime factorization of 12156 in exponential form is:

12156 = 22 × 31 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 12146 and 12156.

LCM(12146,12156) = 22 × 60731 × 31 × 10131
LCM(12146,12156) = 73823388