What is the Least Common Multiple of 74783 and 74803?

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 74783 and 74803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74783 and 74803, than apply into the LCM equation.

GCF(74783,74803) = 1
LCM(74783,74803) = ( 74783 × 74803) / 1
LCM(74783,74803) = 5593992749 / 1
LCM(74783,74803) = 5593992749

Least Common Multiple (LCM) of 74783 and 74803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74783 and 74803. First we will calculate the prime factors of 74783 and 74803.

Prime Factorization of 74783

Prime Factorization of 74803

Now multiplying the highest exponent prime factors to calculate the LCM of 74783 and 74803.

LCM(74783,74803) = 17¹ × 53¹ × 83¹ × 19¹ × 31¹ × 127¹
LCM(74783,74803) = 5593992749