What is the Least Common Multiple of 39423 and 39440?

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 39423 and 39440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39423 and 39440, than apply into the LCM equation.

GCF(39423,39440) = 17
LCM(39423,39440) = ( 39423 × 39440) / 17
LCM(39423,39440) = 1554843120 / 17
LCM(39423,39440) = 91461360

Least Common Multiple (LCM) of 39423 and 39440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39423 and 39440. First we will calculate the prime factors of 39423 and 39440.

Prime Factorization of 39423

Prime Factorization of 39440

Now multiplying the highest exponent prime factors to calculate the LCM of 39423 and 39440.

LCM(39423,39440) = 3¹ × 17¹ × 773¹ × 2⁴ × 5¹ × 29¹
LCM(39423,39440) = 91461360