What is the Least Common Multiple of 73764 and 73784?

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 73764 and 73784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73764 and 73784, than apply into the LCM equation.

GCF(73764,73784) = 4
LCM(73764,73784) = ( 73764 × 73784) / 4
LCM(73764,73784) = 5442602976 / 4
LCM(73764,73784) = 1360650744

Least Common Multiple (LCM) of 73764 and 73784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73764 and 73784. First we will calculate the prime factors of 73764 and 73784.

Prime Factorization of 73764

Prime Factorization of 73784

Now multiplying the highest exponent prime factors to calculate the LCM of 73764 and 73784.

LCM(73764,73784) = 2³ × 3³ × 683¹ × 23¹ × 401¹
LCM(73764,73784) = 1360650744