What is the Least Common Multiple of 26657 and 26676?

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 26657 and 26676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26657 and 26676, than apply into the LCM equation.

GCF(26657,26676) = 19
LCM(26657,26676) = ( 26657 × 26676) / 19
LCM(26657,26676) = 711102132 / 19
LCM(26657,26676) = 37426428

Least Common Multiple (LCM) of 26657 and 26676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26657 and 26676. First we will calculate the prime factors of 26657 and 26676.

Prime Factorization of 26657

Prime Factorization of 26676

Now multiplying the highest exponent prime factors to calculate the LCM of 26657 and 26676.

LCM(26657,26676) = 19¹ × 23¹ × 61¹ × 2² × 3³ × 13¹
LCM(26657,26676) = 37426428