What is the Least Common Multiple of 78705 and 78713?

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 78713 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 78713, than apply into the LCM equation.

GCF(78705,78713) = 1
LCM(78705,78713) = ( 78705 × 78713) / 1
LCM(78705,78713) = 6195106665 / 1
LCM(78705,78713) = 6195106665

Least Common Multiple (LCM) of 78705 and 78713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78705 and 78713. First we will calculate the prime factors of 78705 and 78713.

Prime Factorization of 78705

Prime Factorization of 78713

Now multiplying the highest exponent prime factors to calculate the LCM of 78705 and 78713.

LCM(78705,78713) = 3³ × 5¹ × 11¹ × 53¹ × 78713¹
LCM(78705,78713) = 6195106665