What is the Least Common Multiple of 26744 and 26750?

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 26744 and 26750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26744 and 26750, than apply into the LCM equation.

GCF(26744,26750) = 2
LCM(26744,26750) = ( 26744 × 26750) / 2
LCM(26744,26750) = 715402000 / 2
LCM(26744,26750) = 357701000

Least Common Multiple (LCM) of 26744 and 26750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26744 and 26750. First we will calculate the prime factors of 26744 and 26750.

Prime Factorization of 26744

Prime Factorization of 26750

Now multiplying the highest exponent prime factors to calculate the LCM of 26744 and 26750.

LCM(26744,26750) = 2³ × 3343¹ × 5³ × 107¹
LCM(26744,26750) = 357701000