GCF and LCM Calculator Logo

What is the Least Common Multiple of 30218 and 30228?

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 (LCM) of 30218 and 30228 is 456714852.

LCM(30218,30228) = 456714852

LCM Calculator and
and

Least Common Multiple of 30218 and 30228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30218 and 30228, than apply into the LCM equation.

GCF(30218,30228) = 2
LCM(30218,30228) = ( 30218 × 30228) / 2
LCM(30218,30228) = 913429704 / 2
LCM(30218,30228) = 456714852

Least Common Multiple (LCM) of 30218 and 30228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30218 and 30228. First we will calculate the prime factors of 30218 and 30228.

Prime Factorization of 30218

Prime factors of 30218 are 2, 29, 521. Prime factorization of 30218 in exponential form is:

30218 = 21 × 291 × 5211

Prime Factorization of 30228

Prime factors of 30228 are 2, 3, 11, 229. Prime factorization of 30228 in exponential form is:

30228 = 22 × 31 × 111 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 30218 and 30228.

LCM(30218,30228) = 22 × 291 × 5211 × 31 × 111 × 2291
LCM(30218,30228) = 456714852