What is the Least Common Multiple of 41664 and 41683?

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 41683 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 41683, than apply into the LCM equation.

GCF(41664,41683) = 1
LCM(41664,41683) = ( 41664 × 41683) / 1
LCM(41664,41683) = 1736680512 / 1
LCM(41664,41683) = 1736680512

Least Common Multiple (LCM) of 41664 and 41683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41664 and 41683. First we will calculate the prime factors of 41664 and 41683.

Prime Factorization of 41664

Prime Factorization of 41683

Now multiplying the highest exponent prime factors to calculate the LCM of 41664 and 41683.

LCM(41664,41683) = 2⁶ × 3¹ × 7¹ × 31¹ × 73¹ × 571¹
LCM(41664,41683) = 1736680512