What is the Least Common Multiple of 41649 and 41664?

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 41649 and 41664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41649 and 41664, than apply into the LCM equation.

GCF(41649,41664) = 3
LCM(41649,41664) = ( 41649 × 41664) / 3
LCM(41649,41664) = 1735263936 / 3
LCM(41649,41664) = 578421312

Least Common Multiple (LCM) of 41649 and 41664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41649 and 41664. First we will calculate the prime factors of 41649 and 41664.

Prime Factorization of 41649

Prime Factorization of 41664

Now multiplying the highest exponent prime factors to calculate the LCM of 41649 and 41664.

LCM(41649,41664) = 3¹ × 13883¹ × 2⁶ × 7¹ × 31¹
LCM(41649,41664) = 578421312