What is the Least Common Multiple of 26656 and 26668?

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 26668 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 26668, than apply into the LCM equation.

GCF(26656,26668) = 4
LCM(26656,26668) = ( 26656 × 26668) / 4
LCM(26656,26668) = 710862208 / 4
LCM(26656,26668) = 177715552

Least Common Multiple (LCM) of 26656 and 26668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26656 and 26668. First we will calculate the prime factors of 26656 and 26668.

Prime Factorization of 26656

Prime Factorization of 26668

Now multiplying the highest exponent prime factors to calculate the LCM of 26656 and 26668.

LCM(26656,26668) = 2⁵ × 7² × 17¹ × 59¹ × 113¹
LCM(26656,26668) = 177715552