What is the Least Common Multiple of 39216 and 39222?

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 39216 and 39222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39216 and 39222, than apply into the LCM equation.

GCF(39216,39222) = 6
LCM(39216,39222) = ( 39216 × 39222) / 6
LCM(39216,39222) = 1538129952 / 6
LCM(39216,39222) = 256354992

Least Common Multiple (LCM) of 39216 and 39222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39216 and 39222. First we will calculate the prime factors of 39216 and 39222.

Prime Factorization of 39216

Prime Factorization of 39222

Now multiplying the highest exponent prime factors to calculate the LCM of 39216 and 39222.

LCM(39216,39222) = 2⁴ × 3² × 19¹ × 43¹ × 2179¹
LCM(39216,39222) = 256354992