What is the Least Common Multiple of 26657 and 26672?

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 26672 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 26672, than apply into the LCM equation.

GCF(26657,26672) = 1
LCM(26657,26672) = ( 26657 × 26672) / 1
LCM(26657,26672) = 710995504 / 1
LCM(26657,26672) = 710995504

Least Common Multiple (LCM) of 26657 and 26672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26657 and 26672. First we will calculate the prime factors of 26657 and 26672.

Prime Factorization of 26657

Prime Factorization of 26672

Now multiplying the highest exponent prime factors to calculate the LCM of 26657 and 26672.

LCM(26657,26672) = 19¹ × 23¹ × 61¹ × 2⁴ × 1667¹
LCM(26657,26672) = 710995504