What is the Least Common Multiple of 78690 and 78705?

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 78690 and 78705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78690 and 78705, than apply into the LCM equation.

GCF(78690,78705) = 15
LCM(78690,78705) = ( 78690 × 78705) / 15
LCM(78690,78705) = 6193296450 / 15
LCM(78690,78705) = 412886430

Least Common Multiple (LCM) of 78690 and 78705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78690 and 78705. First we will calculate the prime factors of 78690 and 78705.

Prime Factorization of 78690

Prime Factorization of 78705

Now multiplying the highest exponent prime factors to calculate the LCM of 78690 and 78705.

LCM(78690,78705) = 2¹ × 3³ × 5¹ × 43¹ × 61¹ × 11¹ × 53¹
LCM(78690,78705) = 412886430