What is the Least Common Multiple of 32145 and 32161?

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 32145 and 32161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32145 and 32161, than apply into the LCM equation.

GCF(32145,32161) = 1
LCM(32145,32161) = ( 32145 × 32161) / 1
LCM(32145,32161) = 1033815345 / 1
LCM(32145,32161) = 1033815345

Least Common Multiple (LCM) of 32145 and 32161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32145 and 32161. First we will calculate the prime factors of 32145 and 32161.

Prime Factorization of 32145

Prime Factorization of 32161

Now multiplying the highest exponent prime factors to calculate the LCM of 32145 and 32161.

LCM(32145,32161) = 3¹ × 5¹ × 2143¹ × 29¹ × 1109¹
LCM(32145,32161) = 1033815345