What is the Least Common Multiple of 26657 and 26673?

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 26673 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 26673, than apply into the LCM equation.

GCF(26657,26673) = 1
LCM(26657,26673) = ( 26657 × 26673) / 1
LCM(26657,26673) = 711022161 / 1
LCM(26657,26673) = 711022161

Least Common Multiple (LCM) of 26657 and 26673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26657 and 26673. First we will calculate the prime factors of 26657 and 26673.

Prime Factorization of 26657

Prime Factorization of 26673

Now multiplying the highest exponent prime factors to calculate the LCM of 26657 and 26673.

LCM(26657,26673) = 19¹ × 23¹ × 61¹ × 3¹ × 17¹ × 523¹
LCM(26657,26673) = 711022161