What is the Least Common Multiple of 32300 and 32309?

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 32300 and 32309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32300 and 32309, than apply into the LCM equation.

GCF(32300,32309) = 1
LCM(32300,32309) = ( 32300 × 32309) / 1
LCM(32300,32309) = 1043580700 / 1
LCM(32300,32309) = 1043580700

Least Common Multiple (LCM) of 32300 and 32309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32300 and 32309. First we will calculate the prime factors of 32300 and 32309.

Prime Factorization of 32300

Prime Factorization of 32309

Now multiplying the highest exponent prime factors to calculate the LCM of 32300 and 32309.

LCM(32300,32309) = 2² × 5² × 17¹ × 19¹ × 32309¹
LCM(32300,32309) = 1043580700