What is the Least Common Multiple of 26707 and 26724?

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 26707 and 26724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26707 and 26724, than apply into the LCM equation.

GCF(26707,26724) = 17
LCM(26707,26724) = ( 26707 × 26724) / 17
LCM(26707,26724) = 713717868 / 17
LCM(26707,26724) = 41983404

Least Common Multiple (LCM) of 26707 and 26724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26707 and 26724. First we will calculate the prime factors of 26707 and 26724.

Prime Factorization of 26707

Prime Factorization of 26724

Now multiplying the highest exponent prime factors to calculate the LCM of 26707 and 26724.

LCM(26707,26724) = 17¹ × 1571¹ × 2² × 3¹ × 131¹
LCM(26707,26724) = 41983404