What is the Least Common Multiple of 36212 and 36232?

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 36212 and 36232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36212 and 36232, than apply into the LCM equation.

GCF(36212,36232) = 4
LCM(36212,36232) = ( 36212 × 36232) / 4
LCM(36212,36232) = 1312033184 / 4
LCM(36212,36232) = 328008296

Least Common Multiple (LCM) of 36212 and 36232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36212 and 36232. First we will calculate the prime factors of 36212 and 36232.

Prime Factorization of 36212

Prime Factorization of 36232

Now multiplying the highest exponent prime factors to calculate the LCM of 36212 and 36232.

LCM(36212,36232) = 2³ × 11¹ × 823¹ × 7¹ × 647¹
LCM(36212,36232) = 328008296