What is the Least Common Multiple of 30204 and 30218?

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 30204 and 30218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30204 and 30218, than apply into the LCM equation.

GCF(30204,30218) = 2
LCM(30204,30218) = ( 30204 × 30218) / 2
LCM(30204,30218) = 912704472 / 2
LCM(30204,30218) = 456352236

Least Common Multiple (LCM) of 30204 and 30218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30204 and 30218. First we will calculate the prime factors of 30204 and 30218.

Prime Factorization of 30204

Prime Factorization of 30218

Now multiplying the highest exponent prime factors to calculate the LCM of 30204 and 30218.

LCM(30204,30218) = 2² × 3² × 839¹ × 29¹ × 521¹
LCM(30204,30218) = 456352236