What is the Least Common Multiple of 30195 and 30200?

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 30195 and 30200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30195 and 30200, than apply into the LCM equation.

GCF(30195,30200) = 5
LCM(30195,30200) = ( 30195 × 30200) / 5
LCM(30195,30200) = 911889000 / 5
LCM(30195,30200) = 182377800

Least Common Multiple (LCM) of 30195 and 30200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30195 and 30200. First we will calculate the prime factors of 30195 and 30200.

Prime Factorization of 30195

Prime Factorization of 30200

Now multiplying the highest exponent prime factors to calculate the LCM of 30195 and 30200.

LCM(30195,30200) = 3² × 5² × 11¹ × 61¹ × 2³ × 151¹
LCM(30195,30200) = 182377800