What is the Least Common Multiple of 32394 and 32410?

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 32410 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 32410, than apply into the LCM equation.

GCF(32394,32410) = 2
LCM(32394,32410) = ( 32394 × 32410) / 2
LCM(32394,32410) = 1049889540 / 2
LCM(32394,32410) = 524944770

Least Common Multiple (LCM) of 32394 and 32410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32394 and 32410. First we will calculate the prime factors of 32394 and 32410.

Prime Factorization of 32394

Prime Factorization of 32410

Now multiplying the highest exponent prime factors to calculate the LCM of 32394 and 32410.

LCM(32394,32410) = 2¹ × 3¹ × 5399¹ × 5¹ × 7¹ × 463¹
LCM(32394,32410) = 524944770