What is the Least Common Multiple of 4809 and 4824?

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 4824 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 4824, than apply into the LCM equation.

GCF(4809,4824) = 3
LCM(4809,4824) = ( 4809 × 4824) / 3
LCM(4809,4824) = 23198616 / 3
LCM(4809,4824) = 7732872

Least Common Multiple (LCM) of 4809 and 4824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4809 and 4824. First we will calculate the prime factors of 4809 and 4824.

Prime Factorization of 4809

Prime Factorization of 4824

Now multiplying the highest exponent prime factors to calculate the LCM of 4809 and 4824.

LCM(4809,4824) = 3² × 7¹ × 229¹ × 2³ × 67¹
LCM(4809,4824) = 7732872