GCF and LCM Calculator Logo

What is the Least Common Multiple of 66141 and 66146?

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 66141 and 66146 is 4374962586.

LCM(66141,66146) = 4374962586

LCM Calculator and
and

Least Common Multiple of 66141 and 66146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66141 and 66146, than apply into the LCM equation.

GCF(66141,66146) = 1
LCM(66141,66146) = ( 66141 × 66146) / 1
LCM(66141,66146) = 4374962586 / 1
LCM(66141,66146) = 4374962586

Least Common Multiple (LCM) of 66141 and 66146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66141 and 66146. First we will calculate the prime factors of 66141 and 66146.

Prime Factorization of 66141

Prime factors of 66141 are 3, 7349. Prime factorization of 66141 in exponential form is:

66141 = 32 × 73491

Prime Factorization of 66146

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

66146 = 21 × 330731

Now multiplying the highest exponent prime factors to calculate the LCM of 66141 and 66146.

LCM(66141,66146) = 32 × 73491 × 21 × 330731
LCM(66141,66146) = 4374962586