What is the Least Common Multiple of 41988 and 41992?

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 41988 and 41992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41988 and 41992, than apply into the LCM equation.

GCF(41988,41992) = 4
LCM(41988,41992) = ( 41988 × 41992) / 4
LCM(41988,41992) = 1763160096 / 4
LCM(41988,41992) = 440790024

Least Common Multiple (LCM) of 41988 and 41992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41988 and 41992. First we will calculate the prime factors of 41988 and 41992.

Prime Factorization of 41988

Prime Factorization of 41992

Now multiplying the highest exponent prime factors to calculate the LCM of 41988 and 41992.

LCM(41988,41992) = 2³ × 3¹ × 3499¹ × 29¹ × 181¹
LCM(41988,41992) = 440790024