What is the Least Common Multiple of 35014 and 35032?

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 35014 and 35032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35014 and 35032, than apply into the LCM equation.

GCF(35014,35032) = 2
LCM(35014,35032) = ( 35014 × 35032) / 2
LCM(35014,35032) = 1226610448 / 2
LCM(35014,35032) = 613305224

Least Common Multiple (LCM) of 35014 and 35032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35014 and 35032. First we will calculate the prime factors of 35014 and 35032.

Prime Factorization of 35014

Prime Factorization of 35032

Now multiplying the highest exponent prime factors to calculate the LCM of 35014 and 35032.

LCM(35014,35032) = 2³ × 7¹ × 41¹ × 61¹ × 29¹ × 151¹
LCM(35014,35032) = 613305224