What is the Least Common Multiple of 41624 and 41642?

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 41624 and 41642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41624 and 41642, than apply into the LCM equation.

GCF(41624,41642) = 2
LCM(41624,41642) = ( 41624 × 41642) / 2
LCM(41624,41642) = 1733306608 / 2
LCM(41624,41642) = 866653304

Least Common Multiple (LCM) of 41624 and 41642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41624 and 41642. First we will calculate the prime factors of 41624 and 41642.

Prime Factorization of 41624

Prime Factorization of 41642

Now multiplying the highest exponent prime factors to calculate the LCM of 41624 and 41642.

LCM(41624,41642) = 2³ × 11² × 43¹ × 47¹ × 443¹
LCM(41624,41642) = 866653304