What is the Least Common Multiple of 74783 and 74800?

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 74800 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 74800, than apply into the LCM equation.

GCF(74783,74800) = 17
LCM(74783,74800) = ( 74783 × 74800) / 17
LCM(74783,74800) = 5593768400 / 17
LCM(74783,74800) = 329045200

Least Common Multiple (LCM) of 74783 and 74800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74783 and 74800. First we will calculate the prime factors of 74783 and 74800.

Prime Factorization of 74783

Prime Factorization of 74800

Now multiplying the highest exponent prime factors to calculate the LCM of 74783 and 74800.

LCM(74783,74800) = 17¹ × 53¹ × 83¹ × 2⁴ × 5² × 11¹
LCM(74783,74800) = 329045200