What is the Least Common Multiple of 34996 and 35016?

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 34996 and 35016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34996 and 35016, than apply into the LCM equation.

GCF(34996,35016) = 4
LCM(34996,35016) = ( 34996 × 35016) / 4
LCM(34996,35016) = 1225419936 / 4
LCM(34996,35016) = 306354984

Least Common Multiple (LCM) of 34996 and 35016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34996 and 35016. First we will calculate the prime factors of 34996 and 35016.

Prime Factorization of 34996

Prime Factorization of 35016

Now multiplying the highest exponent prime factors to calculate the LCM of 34996 and 35016.

LCM(34996,35016) = 2³ × 13¹ × 673¹ × 3¹ × 1459¹
LCM(34996,35016) = 306354984