What is the Least Common Multiple of 39216 and 39234?

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 39234 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 39234, than apply into the LCM equation.

GCF(39216,39234) = 6
LCM(39216,39234) = ( 39216 × 39234) / 6
LCM(39216,39234) = 1538600544 / 6
LCM(39216,39234) = 256433424

Least Common Multiple (LCM) of 39216 and 39234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39216 and 39234. First we will calculate the prime factors of 39216 and 39234.

Prime Factorization of 39216

Prime Factorization of 39234

Now multiplying the highest exponent prime factors to calculate the LCM of 39216 and 39234.

LCM(39216,39234) = 2⁴ × 3¹ × 19¹ × 43¹ × 13¹ × 503¹
LCM(39216,39234) = 256433424