What is the Least Common Multiple of 32200 and 32209?

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 32200 and 32209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32200 and 32209, than apply into the LCM equation.

GCF(32200,32209) = 1
LCM(32200,32209) = ( 32200 × 32209) / 1
LCM(32200,32209) = 1037129800 / 1
LCM(32200,32209) = 1037129800

Least Common Multiple (LCM) of 32200 and 32209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32200 and 32209. First we will calculate the prime factors of 32200 and 32209.

Prime Factorization of 32200

Prime Factorization of 32209

Now multiplying the highest exponent prime factors to calculate the LCM of 32200 and 32209.

LCM(32200,32209) = 2³ × 5² × 7¹ × 23¹ × 31¹ × 1039¹
LCM(32200,32209) = 1037129800