What is the Least Common Multiple of 30224 and 30238?

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 30224 and 30238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30224 and 30238, than apply into the LCM equation.

GCF(30224,30238) = 2
LCM(30224,30238) = ( 30224 × 30238) / 2
LCM(30224,30238) = 913913312 / 2
LCM(30224,30238) = 456956656

Least Common Multiple (LCM) of 30224 and 30238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30224 and 30238. First we will calculate the prime factors of 30224 and 30238.

Prime Factorization of 30224

Prime Factorization of 30238

Now multiplying the highest exponent prime factors to calculate the LCM of 30224 and 30238.

LCM(30224,30238) = 2⁴ × 1889¹ × 13¹ × 1163¹
LCM(30224,30238) = 456956656