What is the Least Common Multiple of 30224 and 30230?

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 30230 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 30230, than apply into the LCM equation.

GCF(30224,30230) = 2
LCM(30224,30230) = ( 30224 × 30230) / 2
LCM(30224,30230) = 913671520 / 2
LCM(30224,30230) = 456835760

Least Common Multiple (LCM) of 30224 and 30230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30224 and 30230. First we will calculate the prime factors of 30224 and 30230.

Prime Factorization of 30224

Prime Factorization of 30230

Now multiplying the highest exponent prime factors to calculate the LCM of 30224 and 30230.

LCM(30224,30230) = 2⁴ × 1889¹ × 5¹ × 3023¹
LCM(30224,30230) = 456835760