What is the Least Common Multiple of 22015 and 22030?

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 22015 and 22030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22015 and 22030, than apply into the LCM equation.

GCF(22015,22030) = 5
LCM(22015,22030) = ( 22015 × 22030) / 5
LCM(22015,22030) = 484990450 / 5
LCM(22015,22030) = 96998090

Least Common Multiple (LCM) of 22015 and 22030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22015 and 22030. First we will calculate the prime factors of 22015 and 22030.

Prime Factorization of 22015

Prime Factorization of 22030

Now multiplying the highest exponent prime factors to calculate the LCM of 22015 and 22030.

LCM(22015,22030) = 5¹ × 7¹ × 17¹ × 37¹ × 2¹ × 2203¹
LCM(22015,22030) = 96998090