What is the Least Common Multiple of 20220 and 20238?

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 20220 and 20238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20220 and 20238, than apply into the LCM equation.

GCF(20220,20238) = 6
LCM(20220,20238) = ( 20220 × 20238) / 6
LCM(20220,20238) = 409212360 / 6
LCM(20220,20238) = 68202060

Least Common Multiple (LCM) of 20220 and 20238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20220 and 20238. First we will calculate the prime factors of 20220 and 20238.

Prime Factorization of 20220

Prime Factorization of 20238

Now multiplying the highest exponent prime factors to calculate the LCM of 20220 and 20238.

LCM(20220,20238) = 2² × 3¹ × 5¹ × 337¹ × 3373¹
LCM(20220,20238) = 68202060