GCF and LCM Calculator Logo

What is the Least Common Multiple of 26747 and 26755?

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 26755 is 715615985.

LCM(26747,26755) = 715615985

LCM Calculator and
and

Least Common Multiple of 26747 and 26755 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 26755, than apply into the LCM equation.

GCF(26747,26755) = 1
LCM(26747,26755) = ( 26747 × 26755) / 1
LCM(26747,26755) = 715615985 / 1
LCM(26747,26755) = 715615985

Least Common Multiple (LCM) of 26747 and 26755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26747 and 26755. First we will calculate the prime factors of 26747 and 26755.

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 26755

Prime factors of 26755 are 5, 5351. Prime factorization of 26755 in exponential form is:

26755 = 51 × 53511

Now multiplying the highest exponent prime factors to calculate the LCM of 26747 and 26755.

LCM(26747,26755) = 71 × 38211 × 51 × 53511
LCM(26747,26755) = 715615985