What is the Least Common Multiple of 30198 and 30213?

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 30198 and 30213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30198 and 30213, than apply into the LCM equation.

GCF(30198,30213) = 3
LCM(30198,30213) = ( 30198 × 30213) / 3
LCM(30198,30213) = 912372174 / 3
LCM(30198,30213) = 304124058

Least Common Multiple (LCM) of 30198 and 30213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30198 and 30213. First we will calculate the prime factors of 30198 and 30213.

Prime Factorization of 30198

Prime Factorization of 30213

Now multiplying the highest exponent prime factors to calculate the LCM of 30198 and 30213.

LCM(30198,30213) = 2¹ × 3⁴ × 7¹ × 719¹ × 373¹
LCM(30198,30213) = 304124058