What is the Least Common Multiple of 69783 and 69803?

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 69783 and 69803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69783 and 69803, than apply into the LCM equation.

GCF(69783,69803) = 1
LCM(69783,69803) = ( 69783 × 69803) / 1
LCM(69783,69803) = 4871062749 / 1
LCM(69783,69803) = 4871062749

Least Common Multiple (LCM) of 69783 and 69803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69783 and 69803. First we will calculate the prime factors of 69783 and 69803.

Prime Factorization of 69783

Prime Factorization of 69803

Now multiplying the highest exponent prime factors to calculate the LCM of 69783 and 69803.

LCM(69783,69803) = 3¹ × 7¹ × 3323¹ × 29² × 83¹
LCM(69783,69803) = 4871062749