What is the Least Common Multiple of 78770 and 78783?

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 78770 and 78783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78770 and 78783, than apply into the LCM equation.

GCF(78770,78783) = 1
LCM(78770,78783) = ( 78770 × 78783) / 1
LCM(78770,78783) = 6205736910 / 1
LCM(78770,78783) = 6205736910

Least Common Multiple (LCM) of 78770 and 78783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78770 and 78783. First we will calculate the prime factors of 78770 and 78783.

Prime Factorization of 78770

Prime Factorization of 78783

Now multiplying the highest exponent prime factors to calculate the LCM of 78770 and 78783.

LCM(78770,78783) = 2¹ × 5¹ × 7877¹ × 3¹ × 26261¹
LCM(78770,78783) = 6205736910