GCF and LCM Calculator Logo

What is the Least Common Multiple of 26699 and 26718?

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 26699 and 26718 is 713343882.

LCM(26699,26718) = 713343882

LCM Calculator and
and

Least Common Multiple of 26699 and 26718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26699 and 26718, than apply into the LCM equation.

GCF(26699,26718) = 1
LCM(26699,26718) = ( 26699 × 26718) / 1
LCM(26699,26718) = 713343882 / 1
LCM(26699,26718) = 713343882

Least Common Multiple (LCM) of 26699 and 26718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26699 and 26718. First we will calculate the prime factors of 26699 and 26718.

Prime Factorization of 26699

Prime factors of 26699 are 26699. Prime factorization of 26699 in exponential form is:

26699 = 266991

Prime Factorization of 26718

Prime factors of 26718 are 2, 3, 61, 73. Prime factorization of 26718 in exponential form is:

26718 = 21 × 31 × 611 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 26699 and 26718.

LCM(26699,26718) = 266991 × 21 × 31 × 611 × 731
LCM(26699,26718) = 713343882