What is the Least Common Multiple of 41616 and 41633?

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 41616 and 41633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41616 and 41633, than apply into the LCM equation.

GCF(41616,41633) = 17
LCM(41616,41633) = ( 41616 × 41633) / 17
LCM(41616,41633) = 1732598928 / 17
LCM(41616,41633) = 101917584

Least Common Multiple (LCM) of 41616 and 41633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41616 and 41633. First we will calculate the prime factors of 41616 and 41633.

Prime Factorization of 41616

Prime Factorization of 41633

Now multiplying the highest exponent prime factors to calculate the LCM of 41616 and 41633.

LCM(41616,41633) = 2⁴ × 3² × 17² × 31¹ × 79¹
LCM(41616,41633) = 101917584