What is the Least Common Multiple of 4768 and 4785?

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 4768 and 4785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4768 and 4785, than apply into the LCM equation.

GCF(4768,4785) = 1
LCM(4768,4785) = ( 4768 × 4785) / 1
LCM(4768,4785) = 22814880 / 1
LCM(4768,4785) = 22814880

Least Common Multiple (LCM) of 4768 and 4785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4768 and 4785. First we will calculate the prime factors of 4768 and 4785.

Prime Factorization of 4768

Prime Factorization of 4785

Now multiplying the highest exponent prime factors to calculate the LCM of 4768 and 4785.

LCM(4768,4785) = 2⁵ × 149¹ × 3¹ × 5¹ × 11¹ × 29¹
LCM(4768,4785) = 22814880