What is the Least Common Multiple of 4785 and 4789?

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 4789 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 4789, than apply into the LCM equation.

GCF(4785,4789) = 1
LCM(4785,4789) = ( 4785 × 4789) / 1
LCM(4785,4789) = 22915365 / 1
LCM(4785,4789) = 22915365

Least Common Multiple (LCM) of 4785 and 4789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4785 and 4789. First we will calculate the prime factors of 4785 and 4789.

Prime Factorization of 4785

Prime Factorization of 4789

Now multiplying the highest exponent prime factors to calculate the LCM of 4785 and 4789.

LCM(4785,4789) = 3¹ × 5¹ × 11¹ × 29¹ × 4789¹
LCM(4785,4789) = 22915365