What is the Least Common Multiple of 4872 and 4892?

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 4872 and 4892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4872 and 4892, than apply into the LCM equation.

GCF(4872,4892) = 4
LCM(4872,4892) = ( 4872 × 4892) / 4
LCM(4872,4892) = 23833824 / 4
LCM(4872,4892) = 5958456

Least Common Multiple (LCM) of 4872 and 4892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4872 and 4892. First we will calculate the prime factors of 4872 and 4892.

Prime Factorization of 4872

Prime Factorization of 4892

Now multiplying the highest exponent prime factors to calculate the LCM of 4872 and 4892.

LCM(4872,4892) = 2³ × 3¹ × 7¹ × 29¹ × 1223¹
LCM(4872,4892) = 5958456