What is the Least Common Multiple of 30100 and 30116?

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 30100 and 30116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30100 and 30116, than apply into the LCM equation.

GCF(30100,30116) = 4
LCM(30100,30116) = ( 30100 × 30116) / 4
LCM(30100,30116) = 906491600 / 4
LCM(30100,30116) = 226622900

Least Common Multiple (LCM) of 30100 and 30116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30100 and 30116. First we will calculate the prime factors of 30100 and 30116.

Prime Factorization of 30100

Prime Factorization of 30116

Now multiplying the highest exponent prime factors to calculate the LCM of 30100 and 30116.

LCM(30100,30116) = 2² × 5² × 7¹ × 43¹ × 7529¹
LCM(30100,30116) = 226622900