What is the Least Common Multiple of 41112 and 41120?

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 41112 and 41120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41112 and 41120, than apply into the LCM equation.

GCF(41112,41120) = 8
LCM(41112,41120) = ( 41112 × 41120) / 8
LCM(41112,41120) = 1690525440 / 8
LCM(41112,41120) = 211315680

Least Common Multiple (LCM) of 41112 and 41120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41112 and 41120. First we will calculate the prime factors of 41112 and 41120.

Prime Factorization of 41112

Prime Factorization of 41120

Now multiplying the highest exponent prime factors to calculate the LCM of 41112 and 41120.

LCM(41112,41120) = 2⁵ × 3² × 571¹ × 5¹ × 257¹
LCM(41112,41120) = 211315680