What is the Least Common Multiple of 4809 and 4819?

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 4809 and 4819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4809 and 4819, than apply into the LCM equation.

GCF(4809,4819) = 1
LCM(4809,4819) = ( 4809 × 4819) / 1
LCM(4809,4819) = 23174571 / 1
LCM(4809,4819) = 23174571

Least Common Multiple (LCM) of 4809 and 4819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4809 and 4819. First we will calculate the prime factors of 4809 and 4819.

Prime Factorization of 4809

Prime Factorization of 4819

Now multiplying the highest exponent prime factors to calculate the LCM of 4809 and 4819.

LCM(4809,4819) = 3¹ × 7¹ × 229¹ × 61¹ × 79¹
LCM(4809,4819) = 23174571