GCF and LCM Calculator Logo

What is the Least Common Multiple of 26747 and 26751?

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 26747 and 26751 is 715508997.

LCM(26747,26751) = 715508997

LCM Calculator and
and

Least Common Multiple of 26747 and 26751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26747 and 26751, than apply into the LCM equation.

GCF(26747,26751) = 1
LCM(26747,26751) = ( 26747 × 26751) / 1
LCM(26747,26751) = 715508997 / 1
LCM(26747,26751) = 715508997

Least Common Multiple (LCM) of 26747 and 26751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26747 and 26751. First we will calculate the prime factors of 26747 and 26751.

Prime Factorization of 26747

Prime factors of 26747 are 7, 3821. Prime factorization of 26747 in exponential form is:

26747 = 71 × 38211

Prime Factorization of 26751

Prime factors of 26751 are 3, 37, 241. Prime factorization of 26751 in exponential form is:

26751 = 31 × 371 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 26747 and 26751.

LCM(26747,26751) = 71 × 38211 × 31 × 371 × 2411
LCM(26747,26751) = 715508997