What is the Least Common Multiple of 78705 and 78710?

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 78705 and 78710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78705 and 78710, than apply into the LCM equation.

GCF(78705,78710) = 5
LCM(78705,78710) = ( 78705 × 78710) / 5
LCM(78705,78710) = 6194870550 / 5
LCM(78705,78710) = 1238974110

Least Common Multiple (LCM) of 78705 and 78710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78705 and 78710. First we will calculate the prime factors of 78705 and 78710.

Prime Factorization of 78705

Prime Factorization of 78710

Now multiplying the highest exponent prime factors to calculate the LCM of 78705 and 78710.

LCM(78705,78710) = 3³ × 5¹ × 11¹ × 53¹ × 2¹ × 17¹ × 463¹
LCM(78705,78710) = 1238974110