What is the Least Common Multiple of 41744 and 41762?

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 41744 and 41762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41744 and 41762, than apply into the LCM equation.

GCF(41744,41762) = 2
LCM(41744,41762) = ( 41744 × 41762) / 2
LCM(41744,41762) = 1743312928 / 2
LCM(41744,41762) = 871656464

Least Common Multiple (LCM) of 41744 and 41762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41744 and 41762. First we will calculate the prime factors of 41744 and 41762.

Prime Factorization of 41744

Prime Factorization of 41762

Now multiplying the highest exponent prime factors to calculate the LCM of 41744 and 41762.

LCM(41744,41762) = 2⁴ × 2609¹ × 7¹ × 19¹ × 157¹
LCM(41744,41762) = 871656464