What is the Least Common Multiple of 39390 and 39408?

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 39390 and 39408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39390 and 39408, than apply into the LCM equation.

GCF(39390,39408) = 6
LCM(39390,39408) = ( 39390 × 39408) / 6
LCM(39390,39408) = 1552281120 / 6
LCM(39390,39408) = 258713520

Least Common Multiple (LCM) of 39390 and 39408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39390 and 39408. First we will calculate the prime factors of 39390 and 39408.

Prime Factorization of 39390

Prime Factorization of 39408

Now multiplying the highest exponent prime factors to calculate the LCM of 39390 and 39408.

LCM(39390,39408) = 2⁴ × 3¹ × 5¹ × 13¹ × 101¹ × 821¹
LCM(39390,39408) = 258713520