What is the Least Common Multiple of 14991 and 15003?

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 14991 and 15003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14991 and 15003, than apply into the LCM equation.

GCF(14991,15003) = 3
LCM(14991,15003) = ( 14991 × 15003) / 3
LCM(14991,15003) = 224909973 / 3
LCM(14991,15003) = 74969991

Least Common Multiple (LCM) of 14991 and 15003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14991 and 15003. First we will calculate the prime factors of 14991 and 15003.

Prime Factorization of 14991

Prime Factorization of 15003

Now multiplying the highest exponent prime factors to calculate the LCM of 14991 and 15003.

LCM(14991,15003) = 3² × 19¹ × 263¹ × 1667¹
LCM(14991,15003) = 74969991