What is the Least Common Multiple of 34020 and 34035?

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 34020 and 34035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34020 and 34035, than apply into the LCM equation.

GCF(34020,34035) = 15
LCM(34020,34035) = ( 34020 × 34035) / 15
LCM(34020,34035) = 1157870700 / 15
LCM(34020,34035) = 77191380

Least Common Multiple (LCM) of 34020 and 34035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34020 and 34035. First we will calculate the prime factors of 34020 and 34035.

Prime Factorization of 34020

Prime Factorization of 34035

Now multiplying the highest exponent prime factors to calculate the LCM of 34020 and 34035.

LCM(34020,34035) = 2² × 3⁵ × 5¹ × 7¹ × 2269¹
LCM(34020,34035) = 77191380