GCF and LCM Calculator Logo

What is the Least Common Multiple of 26651 and 26666?

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 26651 and 26666 is 710675566.

LCM(26651,26666) = 710675566

LCM Calculator and
and

Least Common Multiple of 26651 and 26666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26651 and 26666, than apply into the LCM equation.

GCF(26651,26666) = 1
LCM(26651,26666) = ( 26651 × 26666) / 1
LCM(26651,26666) = 710675566 / 1
LCM(26651,26666) = 710675566

Least Common Multiple (LCM) of 26651 and 26666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26651 and 26666. First we will calculate the prime factors of 26651 and 26666.

Prime Factorization of 26651

Prime factors of 26651 are 29, 919. Prime factorization of 26651 in exponential form is:

26651 = 291 × 9191

Prime Factorization of 26666

Prime factors of 26666 are 2, 67, 199. Prime factorization of 26666 in exponential form is:

26666 = 21 × 671 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 26651 and 26666.

LCM(26651,26666) = 291 × 9191 × 21 × 671 × 1991
LCM(26651,26666) = 710675566