What is the Least Common Multiple of 34016 and 34020?

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 34016 and 34020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34016 and 34020, than apply into the LCM equation.

GCF(34016,34020) = 4
LCM(34016,34020) = ( 34016 × 34020) / 4
LCM(34016,34020) = 1157224320 / 4
LCM(34016,34020) = 289306080

Least Common Multiple (LCM) of 34016 and 34020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34016 and 34020. First we will calculate the prime factors of 34016 and 34020.

Prime Factorization of 34016

Prime Factorization of 34020

Now multiplying the highest exponent prime factors to calculate the LCM of 34016 and 34020.

LCM(34016,34020) = 2⁵ × 1063¹ × 3⁵ × 5¹ × 7¹
LCM(34016,34020) = 289306080