What is the Least Common Multiple of 7785 and 7803?

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 7785 and 7803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7785 and 7803, than apply into the LCM equation.

GCF(7785,7803) = 9
LCM(7785,7803) = ( 7785 × 7803) / 9
LCM(7785,7803) = 60746355 / 9
LCM(7785,7803) = 6749595

Least Common Multiple (LCM) of 7785 and 7803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7785 and 7803. First we will calculate the prime factors of 7785 and 7803.

Prime Factorization of 7785

Prime Factorization of 7803

Now multiplying the highest exponent prime factors to calculate the LCM of 7785 and 7803.

LCM(7785,7803) = 3³ × 5¹ × 173¹ × 17²
LCM(7785,7803) = 6749595