GCF and LCM Calculator Logo

What is the Least Common Multiple of 66143 and 66147?

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 66143 and 66147 is 4375161021.

LCM(66143,66147) = 4375161021

LCM Calculator and
and

Least Common Multiple of 66143 and 66147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66143 and 66147, than apply into the LCM equation.

GCF(66143,66147) = 1
LCM(66143,66147) = ( 66143 × 66147) / 1
LCM(66143,66147) = 4375161021 / 1
LCM(66143,66147) = 4375161021

Least Common Multiple (LCM) of 66143 and 66147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66143 and 66147. First we will calculate the prime factors of 66143 and 66147.

Prime Factorization of 66143

Prime factors of 66143 are 7, 11, 859. Prime factorization of 66143 in exponential form is:

66143 = 71 × 111 × 8591

Prime Factorization of 66147

Prime factors of 66147 are 3, 17, 1297. Prime factorization of 66147 in exponential form is:

66147 = 31 × 171 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 66143 and 66147.

LCM(66143,66147) = 71 × 111 × 8591 × 31 × 171 × 12971
LCM(66143,66147) = 4375161021