What is the Least Common Multiple of 26606 and 26626?

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 26606 and 26626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26606 and 26626, than apply into the LCM equation.

GCF(26606,26626) = 2
LCM(26606,26626) = ( 26606 × 26626) / 2
LCM(26606,26626) = 708411356 / 2
LCM(26606,26626) = 354205678

Least Common Multiple (LCM) of 26606 and 26626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26606 and 26626. First we will calculate the prime factors of 26606 and 26626.

Prime Factorization of 26606

Prime Factorization of 26626

Now multiplying the highest exponent prime factors to calculate the LCM of 26606 and 26626.

LCM(26606,26626) = 2¹ × 53¹ × 251¹ × 13313¹
LCM(26606,26626) = 354205678