What is the Least Common Multiple of 5892 and 5906?

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 5892 and 5906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5892 and 5906, than apply into the LCM equation.

GCF(5892,5906) = 2
LCM(5892,5906) = ( 5892 × 5906) / 2
LCM(5892,5906) = 34798152 / 2
LCM(5892,5906) = 17399076

Least Common Multiple (LCM) of 5892 and 5906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5892 and 5906. First we will calculate the prime factors of 5892 and 5906.

Prime Factorization of 5892

Prime Factorization of 5906

Now multiplying the highest exponent prime factors to calculate the LCM of 5892 and 5906.

LCM(5892,5906) = 2² × 3¹ × 491¹ × 2953¹
LCM(5892,5906) = 17399076