What is the Least Common Multiple of 32609 and 32623?

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 32609 and 32623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32609 and 32623, than apply into the LCM equation.

GCF(32609,32623) = 1
LCM(32609,32623) = ( 32609 × 32623) / 1
LCM(32609,32623) = 1063803407 / 1
LCM(32609,32623) = 1063803407

Least Common Multiple (LCM) of 32609 and 32623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32609 and 32623. First we will calculate the prime factors of 32609 and 32623.

Prime Factorization of 32609

Prime Factorization of 32623

Now multiplying the highest exponent prime factors to calculate the LCM of 32609 and 32623.

LCM(32609,32623) = 32609¹ × 17¹ × 19¹ × 101¹
LCM(32609,32623) = 1063803407