What is the Least Common Multiple of 79785 and 79803?

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 79803 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 79803, than apply into the LCM equation.

GCF(79785,79803) = 9
LCM(79785,79803) = ( 79785 × 79803) / 9
LCM(79785,79803) = 6367082355 / 9
LCM(79785,79803) = 707453595

Least Common Multiple (LCM) of 79785 and 79803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79785 and 79803. First we will calculate the prime factors of 79785 and 79803.

Prime Factorization of 79785

Prime Factorization of 79803

Now multiplying the highest exponent prime factors to calculate the LCM of 79785 and 79803.

LCM(79785,79803) = 3⁴ × 5¹ × 197¹ × 8867¹
LCM(79785,79803) = 707453595