What is the Least Common Multiple of 30199 and 30203?

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 30199 and 30203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30199 and 30203, than apply into the LCM equation.

GCF(30199,30203) = 1
LCM(30199,30203) = ( 30199 × 30203) / 1
LCM(30199,30203) = 912100397 / 1
LCM(30199,30203) = 912100397

Least Common Multiple (LCM) of 30199 and 30203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30199 and 30203. First we will calculate the prime factors of 30199 and 30203.

Prime Factorization of 30199

Prime Factorization of 30203

Now multiplying the highest exponent prime factors to calculate the LCM of 30199 and 30203.

LCM(30199,30203) = 13¹ × 23¹ × 101¹ × 30203¹
LCM(30199,30203) = 912100397