What is the Least Common Multiple of 20224 and 20230?

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 20224 and 20230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20224 and 20230, than apply into the LCM equation.

GCF(20224,20230) = 2
LCM(20224,20230) = ( 20224 × 20230) / 2
LCM(20224,20230) = 409131520 / 2
LCM(20224,20230) = 204565760

Least Common Multiple (LCM) of 20224 and 20230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20224 and 20230. First we will calculate the prime factors of 20224 and 20230.

Prime Factorization of 20224

Prime Factorization of 20230

Now multiplying the highest exponent prime factors to calculate the LCM of 20224 and 20230.

LCM(20224,20230) = 2⁸ × 79¹ × 5¹ × 7¹ × 17²
LCM(20224,20230) = 204565760