What is the Least Common Multiple of 32394 and 32408?

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 32394 and 32408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32394 and 32408, than apply into the LCM equation.

GCF(32394,32408) = 2
LCM(32394,32408) = ( 32394 × 32408) / 2
LCM(32394,32408) = 1049824752 / 2
LCM(32394,32408) = 524912376

Least Common Multiple (LCM) of 32394 and 32408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32394 and 32408. First we will calculate the prime factors of 32394 and 32408.

Prime Factorization of 32394

Prime Factorization of 32408

Now multiplying the highest exponent prime factors to calculate the LCM of 32394 and 32408.

LCM(32394,32408) = 2³ × 3¹ × 5399¹ × 4051¹
LCM(32394,32408) = 524912376