What is the Least Common Multiple of 32200 and 32210?

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 32210 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 32210, than apply into the LCM equation.

GCF(32200,32210) = 10
LCM(32200,32210) = ( 32200 × 32210) / 10
LCM(32200,32210) = 1037162000 / 10
LCM(32200,32210) = 103716200

Least Common Multiple (LCM) of 32200 and 32210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32200 and 32210. First we will calculate the prime factors of 32200 and 32210.

Prime Factorization of 32200

Prime Factorization of 32210

Now multiplying the highest exponent prime factors to calculate the LCM of 32200 and 32210.

LCM(32200,32210) = 2³ × 5² × 7¹ × 23¹ × 3221¹
LCM(32200,32210) = 103716200