What is the Least Common Multiple of 29997 and 30006?

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 29997 and 30006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29997 and 30006, than apply into the LCM equation.

GCF(29997,30006) = 9
LCM(29997,30006) = ( 29997 × 30006) / 9
LCM(29997,30006) = 900089982 / 9
LCM(29997,30006) = 100009998

Least Common Multiple (LCM) of 29997 and 30006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29997 and 30006. First we will calculate the prime factors of 29997 and 30006.

Prime Factorization of 29997

Prime Factorization of 30006

Now multiplying the highest exponent prime factors to calculate the LCM of 29997 and 30006.

LCM(29997,30006) = 3³ × 11¹ × 101¹ × 2¹ × 1667¹
LCM(29997,30006) = 100009998