What is the Least Common Multiple of 22016 and 22035?

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 22016 and 22035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22016 and 22035, than apply into the LCM equation.

GCF(22016,22035) = 1
LCM(22016,22035) = ( 22016 × 22035) / 1
LCM(22016,22035) = 485122560 / 1
LCM(22016,22035) = 485122560

Least Common Multiple (LCM) of 22016 and 22035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22016 and 22035. First we will calculate the prime factors of 22016 and 22035.

Prime Factorization of 22016

Prime Factorization of 22035

Now multiplying the highest exponent prime factors to calculate the LCM of 22016 and 22035.

LCM(22016,22035) = 2⁹ × 43¹ × 3¹ × 5¹ × 13¹ × 113¹
LCM(22016,22035) = 485122560