GCF and LCM Calculator Logo

What is the Least Common Multiple of 26705 and 26721?

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 26705 and 26721 is 713584305.

LCM(26705,26721) = 713584305

LCM Calculator and
and

Least Common Multiple of 26705 and 26721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26705 and 26721, than apply into the LCM equation.

GCF(26705,26721) = 1
LCM(26705,26721) = ( 26705 × 26721) / 1
LCM(26705,26721) = 713584305 / 1
LCM(26705,26721) = 713584305

Least Common Multiple (LCM) of 26705 and 26721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26705 and 26721. First we will calculate the prime factors of 26705 and 26721.

Prime Factorization of 26705

Prime factors of 26705 are 5, 7, 109. Prime factorization of 26705 in exponential form is:

26705 = 51 × 72 × 1091

Prime Factorization of 26721

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

26721 = 32 × 29691

Now multiplying the highest exponent prime factors to calculate the LCM of 26705 and 26721.

LCM(26705,26721) = 51 × 72 × 1091 × 32 × 29691
LCM(26705,26721) = 713584305