What is the Least Common Multiple of 41720 and 41738?

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 41720 and 41738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41720 and 41738, than apply into the LCM equation.

GCF(41720,41738) = 2
LCM(41720,41738) = ( 41720 × 41738) / 2
LCM(41720,41738) = 1741309360 / 2
LCM(41720,41738) = 870654680

Least Common Multiple (LCM) of 41720 and 41738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41720 and 41738. First we will calculate the prime factors of 41720 and 41738.

Prime Factorization of 41720

Prime Factorization of 41738

Now multiplying the highest exponent prime factors to calculate the LCM of 41720 and 41738.

LCM(41720,41738) = 2³ × 5¹ × 7¹ × 149¹ × 41¹ × 509¹
LCM(41720,41738) = 870654680