What is the Least Common Multiple of 41991 and 42003?

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 41991 and 42003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41991 and 42003, than apply into the LCM equation.

GCF(41991,42003) = 3
LCM(41991,42003) = ( 41991 × 42003) / 3
LCM(41991,42003) = 1763747973 / 3
LCM(41991,42003) = 587915991

Least Common Multiple (LCM) of 41991 and 42003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41991 and 42003. First we will calculate the prime factors of 41991 and 42003.

Prime Factorization of 41991

Prime Factorization of 42003

Now multiplying the highest exponent prime factors to calculate the LCM of 41991 and 42003.

LCM(41991,42003) = 3² × 13997¹ × 13¹ × 359¹
LCM(41991,42003) = 587915991