What is the Least Common Multiple of 74783 and 74792?

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 74792 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 74792, than apply into the LCM equation.

GCF(74783,74792) = 1
LCM(74783,74792) = ( 74783 × 74792) / 1
LCM(74783,74792) = 5593170136 / 1
LCM(74783,74792) = 5593170136

Least Common Multiple (LCM) of 74783 and 74792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74783 and 74792. First we will calculate the prime factors of 74783 and 74792.

Prime Factorization of 74783

Prime Factorization of 74792

Now multiplying the highest exponent prime factors to calculate the LCM of 74783 and 74792.

LCM(74783,74792) = 17¹ × 53¹ × 83¹ × 2³ × 9349¹
LCM(74783,74792) = 5593170136