What is the Least Common Multiple of 41760 and 41779?

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 41760 and 41779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41760 and 41779, than apply into the LCM equation.

GCF(41760,41779) = 1
LCM(41760,41779) = ( 41760 × 41779) / 1
LCM(41760,41779) = 1744691040 / 1
LCM(41760,41779) = 1744691040

Least Common Multiple (LCM) of 41760 and 41779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41760 and 41779. First we will calculate the prime factors of 41760 and 41779.

Prime Factorization of 41760

Prime Factorization of 41779

Now multiplying the highest exponent prime factors to calculate the LCM of 41760 and 41779.

LCM(41760,41779) = 2⁵ × 3² × 5¹ × 29¹ × 41¹ × 1019¹
LCM(41760,41779) = 1744691040