What is the Least Common Multiple of 39216 and 39228?

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 39228 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 39228, than apply into the LCM equation.

GCF(39216,39228) = 12
LCM(39216,39228) = ( 39216 × 39228) / 12
LCM(39216,39228) = 1538365248 / 12
LCM(39216,39228) = 128197104

Least Common Multiple (LCM) of 39216 and 39228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39216 and 39228. First we will calculate the prime factors of 39216 and 39228.

Prime Factorization of 39216

Prime Factorization of 39228

Now multiplying the highest exponent prime factors to calculate the LCM of 39216 and 39228.

LCM(39216,39228) = 2⁴ × 3¹ × 19¹ × 43¹ × 7¹ × 467¹
LCM(39216,39228) = 128197104