What is the Least Common Multiple of 32345 and 32350?

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 32345 and 32350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32345 and 32350, than apply into the LCM equation.

GCF(32345,32350) = 5
LCM(32345,32350) = ( 32345 × 32350) / 5
LCM(32345,32350) = 1046360750 / 5
LCM(32345,32350) = 209272150

Least Common Multiple (LCM) of 32345 and 32350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32345 and 32350. First we will calculate the prime factors of 32345 and 32350.

Prime Factorization of 32345

Prime Factorization of 32350

Now multiplying the highest exponent prime factors to calculate the LCM of 32345 and 32350.

LCM(32345,32350) = 5² × 6469¹ × 2¹ × 647¹
LCM(32345,32350) = 209272150