GCF and LCM Calculator Logo

What is the Least Common Multiple of 26651 and 26670?

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 26670 is 710782170.

LCM(26651,26670) = 710782170

LCM Calculator and
and

Least Common Multiple of 26651 and 26670 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 26670, than apply into the LCM equation.

GCF(26651,26670) = 1
LCM(26651,26670) = ( 26651 × 26670) / 1
LCM(26651,26670) = 710782170 / 1
LCM(26651,26670) = 710782170

Least Common Multiple (LCM) of 26651 and 26670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26651 and 26670. First we will calculate the prime factors of 26651 and 26670.

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 26670

Prime factors of 26670 are 2, 3, 5, 7, 127. Prime factorization of 26670 in exponential form is:

26670 = 21 × 31 × 51 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 26651 and 26670.

LCM(26651,26670) = 291 × 9191 × 21 × 31 × 51 × 71 × 1271
LCM(26651,26670) = 710782170