What is the Least Common Multiple of 48783 and 48790?

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 48783 and 48790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48783 and 48790, than apply into the LCM equation.

GCF(48783,48790) = 7
LCM(48783,48790) = ( 48783 × 48790) / 7
LCM(48783,48790) = 2380122570 / 7
LCM(48783,48790) = 340017510

Least Common Multiple (LCM) of 48783 and 48790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48783 and 48790. First we will calculate the prime factors of 48783 and 48790.

Prime Factorization of 48783

Prime Factorization of 48790

Now multiplying the highest exponent prime factors to calculate the LCM of 48783 and 48790.

LCM(48783,48790) = 3¹ × 7¹ × 23¹ × 101¹ × 2¹ × 5¹ × 17¹ × 41¹
LCM(48783,48790) = 340017510