What is the Least Common Multiple of 24768 and 24784?

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 24768 and 24784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24768 and 24784, than apply into the LCM equation.

GCF(24768,24784) = 16
LCM(24768,24784) = ( 24768 × 24784) / 16
LCM(24768,24784) = 613850112 / 16
LCM(24768,24784) = 38365632

Least Common Multiple (LCM) of 24768 and 24784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24768 and 24784. First we will calculate the prime factors of 24768 and 24784.

Prime Factorization of 24768

Prime Factorization of 24784

Now multiplying the highest exponent prime factors to calculate the LCM of 24768 and 24784.

LCM(24768,24784) = 2⁶ × 3² × 43¹ × 1549¹
LCM(24768,24784) = 38365632