What is the Least Common Multiple of 48790 and 48806?

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 48790 and 48806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48790 and 48806, than apply into the LCM equation.

GCF(48790,48806) = 2
LCM(48790,48806) = ( 48790 × 48806) / 2
LCM(48790,48806) = 2381244740 / 2
LCM(48790,48806) = 1190622370

Least Common Multiple (LCM) of 48790 and 48806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48790 and 48806. First we will calculate the prime factors of 48790 and 48806.

Prime Factorization of 48790

Prime Factorization of 48806

Now multiplying the highest exponent prime factors to calculate the LCM of 48790 and 48806.

LCM(48790,48806) = 2¹ × 5¹ × 7¹ × 17¹ × 41¹ × 23¹ × 1061¹
LCM(48790,48806) = 1190622370