GCF and LCM Calculator Logo

What is the Least Common Multiple of 26721 and 26732?

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 26721 and 26732 is 714305772.

LCM(26721,26732) = 714305772

LCM Calculator and
and

Least Common Multiple of 26721 and 26732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26721 and 26732, than apply into the LCM equation.

GCF(26721,26732) = 1
LCM(26721,26732) = ( 26721 × 26732) / 1
LCM(26721,26732) = 714305772 / 1
LCM(26721,26732) = 714305772

Least Common Multiple (LCM) of 26721 and 26732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26721 and 26732. First we will calculate the prime factors of 26721 and 26732.

Prime Factorization of 26721

Prime factors of 26721 are 3, 2969. Prime factorization of 26721 in exponential form is:

26721 = 32 × 29691

Prime Factorization of 26732

Prime factors of 26732 are 2, 41, 163. Prime factorization of 26732 in exponential form is:

26732 = 22 × 411 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 26721 and 26732.

LCM(26721,26732) = 32 × 29691 × 22 × 411 × 1631
LCM(26721,26732) = 714305772