What is the Least Common Multiple of 32409 and 32422?

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 32409 and 32422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32409 and 32422, than apply into the LCM equation.

GCF(32409,32422) = 13
LCM(32409,32422) = ( 32409 × 32422) / 13
LCM(32409,32422) = 1050764598 / 13
LCM(32409,32422) = 80828046

Least Common Multiple (LCM) of 32409 and 32422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32409 and 32422. First we will calculate the prime factors of 32409 and 32422.

Prime Factorization of 32409

Prime Factorization of 32422

Now multiplying the highest exponent prime factors to calculate the LCM of 32409 and 32422.

LCM(32409,32422) = 3² × 13¹ × 277¹ × 2¹ × 29¹ × 43¹
LCM(32409,32422) = 80828046