What is the Least Common Multiple of 35016 and 35034?

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 35016 and 35034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35016 and 35034, than apply into the LCM equation.

GCF(35016,35034) = 6
LCM(35016,35034) = ( 35016 × 35034) / 6
LCM(35016,35034) = 1226750544 / 6
LCM(35016,35034) = 204458424

Least Common Multiple (LCM) of 35016 and 35034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35016 and 35034. First we will calculate the prime factors of 35016 and 35034.

Prime Factorization of 35016

Prime Factorization of 35034

Now multiplying the highest exponent prime factors to calculate the LCM of 35016 and 35034.

LCM(35016,35034) = 2³ × 3¹ × 1459¹ × 5839¹
LCM(35016,35034) = 204458424