What is the Least Common Multiple of 42198 and 42216?

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 42198 and 42216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42198 and 42216, than apply into the LCM equation.

GCF(42198,42216) = 6
LCM(42198,42216) = ( 42198 × 42216) / 6
LCM(42198,42216) = 1781430768 / 6
LCM(42198,42216) = 296905128

Least Common Multiple (LCM) of 42198 and 42216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42198 and 42216. First we will calculate the prime factors of 42198 and 42216.

Prime Factorization of 42198

Prime Factorization of 42216

Now multiplying the highest exponent prime factors to calculate the LCM of 42198 and 42216.

LCM(42198,42216) = 2³ × 3¹ × 13¹ × 541¹ × 1759¹
LCM(42198,42216) = 296905128