What is the Least Common Multiple of 48768 and 48784?

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 48768 and 48784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48768 and 48784, than apply into the LCM equation.

GCF(48768,48784) = 16
LCM(48768,48784) = ( 48768 × 48784) / 16
LCM(48768,48784) = 2379098112 / 16
LCM(48768,48784) = 148693632

Least Common Multiple (LCM) of 48768 and 48784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48768 and 48784. First we will calculate the prime factors of 48768 and 48784.

Prime Factorization of 48768

Prime Factorization of 48784

Now multiplying the highest exponent prime factors to calculate the LCM of 48768 and 48784.

LCM(48768,48784) = 2⁷ × 3¹ × 127¹ × 3049¹
LCM(48768,48784) = 148693632