What is the Least Common Multiple of 26638 and 26657?

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 26638 and 26657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26638 and 26657, than apply into the LCM equation.

GCF(26638,26657) = 19
LCM(26638,26657) = ( 26638 × 26657) / 19
LCM(26638,26657) = 710089166 / 19
LCM(26638,26657) = 37373114

Least Common Multiple (LCM) of 26638 and 26657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26638 and 26657. First we will calculate the prime factors of 26638 and 26657.

Prime Factorization of 26638

Prime Factorization of 26657

Now multiplying the highest exponent prime factors to calculate the LCM of 26638 and 26657.

LCM(26638,26657) = 2¹ × 19¹ × 701¹ × 23¹ × 61¹
LCM(26638,26657) = 37373114