What is the Least Common Multiple of 33198 and 33202?

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 33198 and 33202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33198 and 33202, than apply into the LCM equation.

GCF(33198,33202) = 2
LCM(33198,33202) = ( 33198 × 33202) / 2
LCM(33198,33202) = 1102239996 / 2
LCM(33198,33202) = 551119998

Least Common Multiple (LCM) of 33198 and 33202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33198 and 33202. First we will calculate the prime factors of 33198 and 33202.

Prime Factorization of 33198

Prime Factorization of 33202

Now multiplying the highest exponent prime factors to calculate the LCM of 33198 and 33202.

LCM(33198,33202) = 2¹ × 3¹ × 11¹ × 503¹ × 13¹ × 1277¹
LCM(33198,33202) = 551119998