What is the Least Common Multiple of 32215 and 32231?

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 32215 and 32231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32215 and 32231, than apply into the LCM equation.

GCF(32215,32231) = 1
LCM(32215,32231) = ( 32215 × 32231) / 1
LCM(32215,32231) = 1038321665 / 1
LCM(32215,32231) = 1038321665

Least Common Multiple (LCM) of 32215 and 32231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32215 and 32231. First we will calculate the prime factors of 32215 and 32231.

Prime Factorization of 32215

Prime Factorization of 32231

Now multiplying the highest exponent prime factors to calculate the LCM of 32215 and 32231.

LCM(32215,32231) = 5¹ × 17¹ × 379¹ × 167¹ × 193¹
LCM(32215,32231) = 1038321665