What is the Least Common Multiple of 32345 and 32363?

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 32363 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 32363, than apply into the LCM equation.

GCF(32345,32363) = 1
LCM(32345,32363) = ( 32345 × 32363) / 1
LCM(32345,32363) = 1046781235 / 1
LCM(32345,32363) = 1046781235

Least Common Multiple (LCM) of 32345 and 32363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32345 and 32363. First we will calculate the prime factors of 32345 and 32363.

Prime Factorization of 32345

Prime Factorization of 32363

Now multiplying the highest exponent prime factors to calculate the LCM of 32345 and 32363.

LCM(32345,32363) = 5¹ × 6469¹ × 32363¹
LCM(32345,32363) = 1046781235