What is the Least Common Multiple of 4785 and 4792?

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 4785 and 4792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4785 and 4792, than apply into the LCM equation.

GCF(4785,4792) = 1
LCM(4785,4792) = ( 4785 × 4792) / 1
LCM(4785,4792) = 22929720 / 1
LCM(4785,4792) = 22929720

Least Common Multiple (LCM) of 4785 and 4792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4785 and 4792. First we will calculate the prime factors of 4785 and 4792.

Prime Factorization of 4785

Prime Factorization of 4792

Now multiplying the highest exponent prime factors to calculate the LCM of 4785 and 4792.

LCM(4785,4792) = 3¹ × 5¹ × 11¹ × 29¹ × 2³ × 599¹
LCM(4785,4792) = 22929720