What is the Least Common Multiple of 72768 and 72784?

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 72768 and 72784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72768 and 72784, than apply into the LCM equation.

GCF(72768,72784) = 16
LCM(72768,72784) = ( 72768 × 72784) / 16
LCM(72768,72784) = 5296346112 / 16
LCM(72768,72784) = 331021632

Least Common Multiple (LCM) of 72768 and 72784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72768 and 72784. First we will calculate the prime factors of 72768 and 72784.

Prime Factorization of 72768

Prime Factorization of 72784

Now multiplying the highest exponent prime factors to calculate the LCM of 72768 and 72784.

LCM(72768,72784) = 2⁶ × 3¹ × 379¹ × 4549¹
LCM(72768,72784) = 331021632