What is the Least Common Multiple of 26656 and 26663?

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 26656 and 26663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26656 and 26663, than apply into the LCM equation.

GCF(26656,26663) = 7
LCM(26656,26663) = ( 26656 × 26663) / 7
LCM(26656,26663) = 710728928 / 7
LCM(26656,26663) = 101532704

Least Common Multiple (LCM) of 26656 and 26663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26656 and 26663. First we will calculate the prime factors of 26656 and 26663.

Prime Factorization of 26656

Prime Factorization of 26663

Now multiplying the highest exponent prime factors to calculate the LCM of 26656 and 26663.

LCM(26656,26663) = 2⁵ × 7² × 17¹ × 13¹ × 293¹
LCM(26656,26663) = 101532704