What is the Least Common Multiple of 41748 and 41760?

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 41748 and 41760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41748 and 41760, than apply into the LCM equation.

GCF(41748,41760) = 12
LCM(41748,41760) = ( 41748 × 41760) / 12
LCM(41748,41760) = 1743396480 / 12
LCM(41748,41760) = 145283040

Least Common Multiple (LCM) of 41748 and 41760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41748 and 41760. First we will calculate the prime factors of 41748 and 41760.

Prime Factorization of 41748

Prime Factorization of 41760

Now multiplying the highest exponent prime factors to calculate the LCM of 41748 and 41760.

LCM(41748,41760) = 2⁵ × 3² × 7² × 71¹ × 5¹ × 29¹
LCM(41748,41760) = 145283040