What is the Least Common Multiple of 26688 and 26702?

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 26702 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 26702, than apply into the LCM equation.

GCF(26688,26702) = 2
LCM(26688,26702) = ( 26688 × 26702) / 2
LCM(26688,26702) = 712622976 / 2
LCM(26688,26702) = 356311488

Least Common Multiple (LCM) of 26688 and 26702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26688 and 26702. First we will calculate the prime factors of 26688 and 26702.

Prime Factorization of 26688

Prime Factorization of 26702

Now multiplying the highest exponent prime factors to calculate the LCM of 26688 and 26702.

LCM(26688,26702) = 2⁶ × 3¹ × 139¹ × 13² × 79¹
LCM(26688,26702) = 356311488