What is the Least Common Multiple of 32204 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 32204 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 32204 and 32212, than apply into the LCM equation.

GCF(32204,32212) = 4
LCM(32204,32212) = ( 32204 × 32212) / 4
LCM(32204,32212) = 1037355248 / 4
LCM(32204,32212) = 259338812

Least Common Multiple (LCM) of 32204 and 32212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32204 and 32212. First we will calculate the prime factors of 32204 and 32212.

Prime Factorization of 32204

Prime Factorization of 32212

Now multiplying the highest exponent prime factors to calculate the LCM of 32204 and 32212.

LCM(32204,32212) = 2² × 83¹ × 97¹ × 8053¹
LCM(32204,32212) = 259338812