What is the Least Common Multiple of 2991 and 3003?

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 2991 and 3003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2991 and 3003, than apply into the LCM equation.

GCF(2991,3003) = 3
LCM(2991,3003) = ( 2991 × 3003) / 3
LCM(2991,3003) = 8981973 / 3
LCM(2991,3003) = 2993991

Least Common Multiple (LCM) of 2991 and 3003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2991 and 3003. First we will calculate the prime factors of 2991 and 3003.

Prime Factorization of 2991

Prime Factorization of 3003

Now multiplying the highest exponent prime factors to calculate the LCM of 2991 and 3003.

LCM(2991,3003) = 3¹ × 997¹ × 7¹ × 11¹ × 13¹
LCM(2991,3003) = 2993991