What is the Least Common Multiple of 7844 and 7862?

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 7844 and 7862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7844 and 7862, than apply into the LCM equation.

GCF(7844,7862) = 2
LCM(7844,7862) = ( 7844 × 7862) / 2
LCM(7844,7862) = 61669528 / 2
LCM(7844,7862) = 30834764

Least Common Multiple (LCM) of 7844 and 7862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7844 and 7862. First we will calculate the prime factors of 7844 and 7862.

Prime Factorization of 7844

Prime Factorization of 7862

Now multiplying the highest exponent prime factors to calculate the LCM of 7844 and 7862.

LCM(7844,7862) = 2² × 37¹ × 53¹ × 3931¹
LCM(7844,7862) = 30834764