What is the Least Common Multiple of 20220 and 20240?

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 20240 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 20240, than apply into the LCM equation.

GCF(20220,20240) = 20
LCM(20220,20240) = ( 20220 × 20240) / 20
LCM(20220,20240) = 409252800 / 20
LCM(20220,20240) = 20462640

Least Common Multiple (LCM) of 20220 and 20240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20220 and 20240. First we will calculate the prime factors of 20220 and 20240.

Prime Factorization of 20220

Prime Factorization of 20240

Now multiplying the highest exponent prime factors to calculate the LCM of 20220 and 20240.

LCM(20220,20240) = 2⁴ × 3¹ × 5¹ × 337¹ × 11¹ × 23¹
LCM(20220,20240) = 20462640