What is the Least Common Multiple of 30228 and 30239?

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 30228 and 30239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30228 and 30239, than apply into the LCM equation.

GCF(30228,30239) = 11
LCM(30228,30239) = ( 30228 × 30239) / 11
LCM(30228,30239) = 914064492 / 11
LCM(30228,30239) = 83096772

Least Common Multiple (LCM) of 30228 and 30239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30228 and 30239. First we will calculate the prime factors of 30228 and 30239.

Prime Factorization of 30228

Prime Factorization of 30239

Now multiplying the highest exponent prime factors to calculate the LCM of 30228 and 30239.

LCM(30228,30239) = 2² × 3¹ × 11¹ × 229¹ × 2749¹
LCM(30228,30239) = 83096772