What is the Least Common Multiple of 3198 and 3212?

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 3198 and 3212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3198 and 3212, than apply into the LCM equation.

GCF(3198,3212) = 2
LCM(3198,3212) = ( 3198 × 3212) / 2
LCM(3198,3212) = 10271976 / 2
LCM(3198,3212) = 5135988

Least Common Multiple (LCM) of 3198 and 3212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3198 and 3212. First we will calculate the prime factors of 3198 and 3212.

Prime Factorization of 3198

Prime Factorization of 3212

Now multiplying the highest exponent prime factors to calculate the LCM of 3198 and 3212.

LCM(3198,3212) = 2² × 3¹ × 13¹ × 41¹ × 11¹ × 73¹
LCM(3198,3212) = 5135988