What is the Least Common Multiple of 4686 and 4701?

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 4686 and 4701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4686 and 4701, than apply into the LCM equation.

GCF(4686,4701) = 3
LCM(4686,4701) = ( 4686 × 4701) / 3
LCM(4686,4701) = 22028886 / 3
LCM(4686,4701) = 7342962

Least Common Multiple (LCM) of 4686 and 4701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4686 and 4701. First we will calculate the prime factors of 4686 and 4701.

Prime Factorization of 4686

Prime Factorization of 4701

Now multiplying the highest exponent prime factors to calculate the LCM of 4686 and 4701.

LCM(4686,4701) = 2¹ × 3¹ × 11¹ × 71¹ × 1567¹
LCM(4686,4701) = 7342962