What is the Least Common Multiple of 4785 and 4798?

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 4798 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 4798, than apply into the LCM equation.

GCF(4785,4798) = 1
LCM(4785,4798) = ( 4785 × 4798) / 1
LCM(4785,4798) = 22958430 / 1
LCM(4785,4798) = 22958430

Least Common Multiple (LCM) of 4785 and 4798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4785 and 4798. First we will calculate the prime factors of 4785 and 4798.

Prime Factorization of 4785

Prime Factorization of 4798

Now multiplying the highest exponent prime factors to calculate the LCM of 4785 and 4798.

LCM(4785,4798) = 3¹ × 5¹ × 11¹ × 29¹ × 2¹ × 2399¹
LCM(4785,4798) = 22958430