GCF and LCM Calculator Logo

What is the Least Common Multiple of 66660 and 66676?

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 66660 and 66676 is 1111155540.

LCM(66660,66676) = 1111155540

LCM Calculator and
and

Least Common Multiple of 66660 and 66676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66660 and 66676, than apply into the LCM equation.

GCF(66660,66676) = 4
LCM(66660,66676) = ( 66660 × 66676) / 4
LCM(66660,66676) = 4444622160 / 4
LCM(66660,66676) = 1111155540

Least Common Multiple (LCM) of 66660 and 66676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66660 and 66676. First we will calculate the prime factors of 66660 and 66676.

Prime Factorization of 66660

Prime factors of 66660 are 2, 3, 5, 11, 101. Prime factorization of 66660 in exponential form is:

66660 = 22 × 31 × 51 × 111 × 1011

Prime Factorization of 66676

Prime factors of 66676 are 2, 79, 211. Prime factorization of 66676 in exponential form is:

66676 = 22 × 791 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 66660 and 66676.

LCM(66660,66676) = 22 × 31 × 51 × 111 × 1011 × 791 × 2111
LCM(66660,66676) = 1111155540