What is the Least Common Multiple of 32998 and 33018?

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 32998 and 33018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32998 and 33018, than apply into the LCM equation.

GCF(32998,33018) = 2
LCM(32998,33018) = ( 32998 × 33018) / 2
LCM(32998,33018) = 1089527964 / 2
LCM(32998,33018) = 544763982

Least Common Multiple (LCM) of 32998 and 33018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32998 and 33018. First we will calculate the prime factors of 32998 and 33018.

Prime Factorization of 32998

Prime Factorization of 33018

Now multiplying the highest exponent prime factors to calculate the LCM of 32998 and 33018.

LCM(32998,33018) = 2¹ × 7¹ × 2357¹ × 3¹ × 5503¹
LCM(32998,33018) = 544763982