What is the Least Common Multiple of 30844 and 30862?

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 30844 and 30862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30844 and 30862, than apply into the LCM equation.

GCF(30844,30862) = 2
LCM(30844,30862) = ( 30844 × 30862) / 2
LCM(30844,30862) = 951907528 / 2
LCM(30844,30862) = 475953764

Least Common Multiple (LCM) of 30844 and 30862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30844 and 30862. First we will calculate the prime factors of 30844 and 30862.

Prime Factorization of 30844

Prime Factorization of 30862

Now multiplying the highest exponent prime factors to calculate the LCM of 30844 and 30862.

LCM(30844,30862) = 2² × 11¹ × 701¹ × 13¹ × 1187¹
LCM(30844,30862) = 475953764