What is the Least Common Multiple of 5016 and 5035?

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 5016 and 5035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5016 and 5035, than apply into the LCM equation.

GCF(5016,5035) = 19
LCM(5016,5035) = ( 5016 × 5035) / 19
LCM(5016,5035) = 25255560 / 19
LCM(5016,5035) = 1329240

Least Common Multiple (LCM) of 5016 and 5035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5016 and 5035. First we will calculate the prime factors of 5016 and 5035.

Prime Factorization of 5016

Prime Factorization of 5035

Now multiplying the highest exponent prime factors to calculate the LCM of 5016 and 5035.

LCM(5016,5035) = 2³ × 3¹ × 11¹ × 19¹ × 5¹ × 53¹
LCM(5016,5035) = 1329240