What is the Least Common Multiple of 74764 and 74783?

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 74764 and 74783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74764 and 74783, than apply into the LCM equation.

GCF(74764,74783) = 1
LCM(74764,74783) = ( 74764 × 74783) / 1
LCM(74764,74783) = 5591076212 / 1
LCM(74764,74783) = 5591076212

Least Common Multiple (LCM) of 74764 and 74783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74764 and 74783. First we will calculate the prime factors of 74764 and 74783.

Prime Factorization of 74764

Prime Factorization of 74783

Now multiplying the highest exponent prime factors to calculate the LCM of 74764 and 74783.

LCM(74764,74783) = 2² × 18691¹ × 17¹ × 53¹ × 83¹
LCM(74764,74783) = 5591076212