What is the Least Common Multiple of 5872 and 5892?

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 5872 and 5892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5872 and 5892, than apply into the LCM equation.

GCF(5872,5892) = 4
LCM(5872,5892) = ( 5872 × 5892) / 4
LCM(5872,5892) = 34597824 / 4
LCM(5872,5892) = 8649456

Least Common Multiple (LCM) of 5872 and 5892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5872 and 5892. First we will calculate the prime factors of 5872 and 5892.

Prime Factorization of 5872

Prime Factorization of 5892

Now multiplying the highest exponent prime factors to calculate the LCM of 5872 and 5892.

LCM(5872,5892) = 2⁴ × 367¹ × 3¹ × 491¹
LCM(5872,5892) = 8649456