What is the Least Common Multiple of 18993 and 19002?

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 18993 and 19002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18993 and 19002, than apply into the LCM equation.

GCF(18993,19002) = 3
LCM(18993,19002) = ( 18993 × 19002) / 3
LCM(18993,19002) = 360904986 / 3
LCM(18993,19002) = 120301662

Least Common Multiple (LCM) of 18993 and 19002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18993 and 19002. First we will calculate the prime factors of 18993 and 19002.

Prime Factorization of 18993

Prime Factorization of 19002

Now multiplying the highest exponent prime factors to calculate the LCM of 18993 and 19002.

LCM(18993,19002) = 3¹ × 13¹ × 487¹ × 2¹ × 3167¹
LCM(18993,19002) = 120301662