What is the Least Common Multiple of 26688 and 26707?

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 of 26688 and 26707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26688 and 26707, than apply into the LCM equation.

GCF(26688,26707) = 1
LCM(26688,26707) = ( 26688 × 26707) / 1
LCM(26688,26707) = 712756416 / 1
LCM(26688,26707) = 712756416

Least Common Multiple (LCM) of 26688 and 26707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26688 and 26707. First we will calculate the prime factors of 26688 and 26707.

Prime Factorization of 26688

Prime Factorization of 26707

Now multiplying the highest exponent prime factors to calculate the LCM of 26688 and 26707.

LCM(26688,26707) = 2⁶ × 3¹ × 139¹ × 17¹ × 1571¹
LCM(26688,26707) = 712756416