What is the Least Common Multiple of 47845 and 47862?

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 47845 and 47862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47845 and 47862, than apply into the LCM equation.

GCF(47845,47862) = 1
LCM(47845,47862) = ( 47845 × 47862) / 1
LCM(47845,47862) = 2289957390 / 1
LCM(47845,47862) = 2289957390

Least Common Multiple (LCM) of 47845 and 47862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47845 and 47862. First we will calculate the prime factors of 47845 and 47862.

Prime Factorization of 47845

Prime Factorization of 47862

Now multiplying the highest exponent prime factors to calculate the LCM of 47845 and 47862.

LCM(47845,47862) = 5¹ × 7¹ × 1367¹ × 2¹ × 3² × 2659¹
LCM(47845,47862) = 2289957390