What is the Least Common Multiple of 32190 and 32200?

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 32190 and 32200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32190 and 32200, than apply into the LCM equation.

GCF(32190,32200) = 10
LCM(32190,32200) = ( 32190 × 32200) / 10
LCM(32190,32200) = 1036518000 / 10
LCM(32190,32200) = 103651800

Least Common Multiple (LCM) of 32190 and 32200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32190 and 32200. First we will calculate the prime factors of 32190 and 32200.

Prime Factorization of 32190

Prime Factorization of 32200

Now multiplying the highest exponent prime factors to calculate the LCM of 32190 and 32200.

LCM(32190,32200) = 2³ × 3¹ × 5² × 29¹ × 37¹ × 7¹ × 23¹
LCM(32190,32200) = 103651800