What is the Least Common Multiple of 41664 and 41680?

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 41664 and 41680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41664 and 41680, than apply into the LCM equation.

GCF(41664,41680) = 16
LCM(41664,41680) = ( 41664 × 41680) / 16
LCM(41664,41680) = 1736555520 / 16
LCM(41664,41680) = 108534720

Least Common Multiple (LCM) of 41664 and 41680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41664 and 41680. First we will calculate the prime factors of 41664 and 41680.

Prime Factorization of 41664

Prime Factorization of 41680

Now multiplying the highest exponent prime factors to calculate the LCM of 41664 and 41680.

LCM(41664,41680) = 2⁶ × 3¹ × 7¹ × 31¹ × 5¹ × 521¹
LCM(41664,41680) = 108534720