What is the Least Common Multiple of 48770 and 48783?

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 48770 and 48783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48770 and 48783, than apply into the LCM equation.

GCF(48770,48783) = 1
LCM(48770,48783) = ( 48770 × 48783) / 1
LCM(48770,48783) = 2379146910 / 1
LCM(48770,48783) = 2379146910

Least Common Multiple (LCM) of 48770 and 48783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48770 and 48783. First we will calculate the prime factors of 48770 and 48783.

Prime Factorization of 48770

Prime Factorization of 48783

Now multiplying the highest exponent prime factors to calculate the LCM of 48770 and 48783.

LCM(48770,48783) = 2¹ × 5¹ × 4877¹ × 3¹ × 7¹ × 23¹ × 101¹
LCM(48770,48783) = 2379146910