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What is the Least Common Multiple of 66146 and 66156?

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 66146 and 66156 is 2187977388.

LCM(66146,66156) = 2187977388

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Least Common Multiple of 66146 and 66156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66146 and 66156, than apply into the LCM equation.

GCF(66146,66156) = 2
LCM(66146,66156) = ( 66146 × 66156) / 2
LCM(66146,66156) = 4375954776 / 2
LCM(66146,66156) = 2187977388

Least Common Multiple (LCM) of 66146 and 66156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66146 and 66156. First we will calculate the prime factors of 66146 and 66156.

Prime Factorization of 66146

Prime factors of 66146 are 2, 33073. Prime factorization of 66146 in exponential form is:

66146 = 21 × 330731

Prime Factorization of 66156

Prime factors of 66156 are 2, 3, 37, 149. Prime factorization of 66156 in exponential form is:

66156 = 22 × 31 × 371 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 66146 and 66156.

LCM(66146,66156) = 22 × 330731 × 31 × 371 × 1491
LCM(66146,66156) = 2187977388