GCF and LCM Calculator Logo

What is the Least Common Multiple of 66376 and 66391?

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 66376 and 66391 is 4406769016.

LCM(66376,66391) = 4406769016

LCM Calculator and
and

Least Common Multiple of 66376 and 66391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66376 and 66391, than apply into the LCM equation.

GCF(66376,66391) = 1
LCM(66376,66391) = ( 66376 × 66391) / 1
LCM(66376,66391) = 4406769016 / 1
LCM(66376,66391) = 4406769016

Least Common Multiple (LCM) of 66376 and 66391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66376 and 66391. First we will calculate the prime factors of 66376 and 66391.

Prime Factorization of 66376

Prime factors of 66376 are 2, 8297. Prime factorization of 66376 in exponential form is:

66376 = 23 × 82971

Prime Factorization of 66391

Prime factors of 66391 are 13, 5107. Prime factorization of 66391 in exponential form is:

66391 = 131 × 51071

Now multiplying the highest exponent prime factors to calculate the LCM of 66376 and 66391.

LCM(66376,66391) = 23 × 82971 × 131 × 51071
LCM(66376,66391) = 4406769016