What is the Least Common Multiple of 4800 and 4809?

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 4800 and 4809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4800 and 4809, than apply into the LCM equation.

GCF(4800,4809) = 3
LCM(4800,4809) = ( 4800 × 4809) / 3
LCM(4800,4809) = 23083200 / 3
LCM(4800,4809) = 7694400

Least Common Multiple (LCM) of 4800 and 4809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4800 and 4809. First we will calculate the prime factors of 4800 and 4809.

Prime Factorization of 4800

Prime Factorization of 4809

Now multiplying the highest exponent prime factors to calculate the LCM of 4800 and 4809.

LCM(4800,4809) = 2⁶ × 3¹ × 5² × 7¹ × 229¹
LCM(4800,4809) = 7694400