What is the Least Common Multiple of 79785 and 79793?

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 79785 and 79793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79785 and 79793, than apply into the LCM equation.

GCF(79785,79793) = 1
LCM(79785,79793) = ( 79785 × 79793) / 1
LCM(79785,79793) = 6366284505 / 1
LCM(79785,79793) = 6366284505

Least Common Multiple (LCM) of 79785 and 79793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79785 and 79793. First we will calculate the prime factors of 79785 and 79793.

Prime Factorization of 79785

Prime Factorization of 79793

Now multiplying the highest exponent prime factors to calculate the LCM of 79785 and 79793.

LCM(79785,79793) = 3⁴ × 5¹ × 197¹ × 7¹ × 11399¹
LCM(79785,79793) = 6366284505