What is the Least Common Multiple of 32198 and 32212?

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 32198 and 32212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32198 and 32212, than apply into the LCM equation.

GCF(32198,32212) = 2
LCM(32198,32212) = ( 32198 × 32212) / 2
LCM(32198,32212) = 1037161976 / 2
LCM(32198,32212) = 518580988

Least Common Multiple (LCM) of 32198 and 32212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32198 and 32212. First we will calculate the prime factors of 32198 and 32212.

Prime Factorization of 32198

Prime Factorization of 32212

Now multiplying the highest exponent prime factors to calculate the LCM of 32198 and 32212.

LCM(32198,32212) = 2² × 17¹ × 947¹ × 8053¹
LCM(32198,32212) = 518580988