What is the Least Common Multiple of 32404 and 32414?

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 32404 and 32414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32404 and 32414, than apply into the LCM equation.

GCF(32404,32414) = 2
LCM(32404,32414) = ( 32404 × 32414) / 2
LCM(32404,32414) = 1050343256 / 2
LCM(32404,32414) = 525171628

Least Common Multiple (LCM) of 32404 and 32414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32404 and 32414. First we will calculate the prime factors of 32404 and 32414.

Prime Factorization of 32404

Prime Factorization of 32414

Now multiplying the highest exponent prime factors to calculate the LCM of 32404 and 32414.

LCM(32404,32414) = 2² × 8101¹ × 19¹ × 853¹
LCM(32404,32414) = 525171628