What is the Least Common Multiple of 4869 and 4883?

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 4869 and 4883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4869 and 4883, than apply into the LCM equation.

GCF(4869,4883) = 1
LCM(4869,4883) = ( 4869 × 4883) / 1
LCM(4869,4883) = 23775327 / 1
LCM(4869,4883) = 23775327

Least Common Multiple (LCM) of 4869 and 4883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4869 and 4883. First we will calculate the prime factors of 4869 and 4883.

Prime Factorization of 4869

Prime Factorization of 4883

Now multiplying the highest exponent prime factors to calculate the LCM of 4869 and 4883.

LCM(4869,4883) = 3² × 541¹ × 19¹ × 257¹
LCM(4869,4883) = 23775327