What is the Least Common Multiple of 35032 and 35038?

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 35032 and 35038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35032 and 35038, than apply into the LCM equation.

GCF(35032,35038) = 2
LCM(35032,35038) = ( 35032 × 35038) / 2
LCM(35032,35038) = 1227451216 / 2
LCM(35032,35038) = 613725608

Least Common Multiple (LCM) of 35032 and 35038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35032 and 35038. First we will calculate the prime factors of 35032 and 35038.

Prime Factorization of 35032

Prime Factorization of 35038

Now multiplying the highest exponent prime factors to calculate the LCM of 35032 and 35038.

LCM(35032,35038) = 2³ × 29¹ × 151¹ × 17519¹
LCM(35032,35038) = 613725608