What is the Least Common Multiple of 41760 and 41772?

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 41772 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 41772, than apply into the LCM equation.

GCF(41760,41772) = 12
LCM(41760,41772) = ( 41760 × 41772) / 12
LCM(41760,41772) = 1744398720 / 12
LCM(41760,41772) = 145366560

Least Common Multiple (LCM) of 41760 and 41772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41760 and 41772. First we will calculate the prime factors of 41760 and 41772.

Prime Factorization of 41760

Prime Factorization of 41772

Now multiplying the highest exponent prime factors to calculate the LCM of 41760 and 41772.

LCM(41760,41772) = 2⁵ × 3² × 5¹ × 29¹ × 59²
LCM(41760,41772) = 145366560