What is the Least Common Multiple of 4764 and 4782?

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 4764 and 4782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4764 and 4782, than apply into the LCM equation.

GCF(4764,4782) = 6
LCM(4764,4782) = ( 4764 × 4782) / 6
LCM(4764,4782) = 22781448 / 6
LCM(4764,4782) = 3796908

Least Common Multiple (LCM) of 4764 and 4782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4764 and 4782. First we will calculate the prime factors of 4764 and 4782.

Prime Factorization of 4764

Prime Factorization of 4782

Now multiplying the highest exponent prime factors to calculate the LCM of 4764 and 4782.

LCM(4764,4782) = 2² × 3¹ × 397¹ × 797¹
LCM(4764,4782) = 3796908