What is the Least Common Multiple of 4695 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 4695 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 4695 and 4701, than apply into the LCM equation.

GCF(4695,4701) = 3
LCM(4695,4701) = ( 4695 × 4701) / 3
LCM(4695,4701) = 22071195 / 3
LCM(4695,4701) = 7357065

Least Common Multiple (LCM) of 4695 and 4701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4695 and 4701. First we will calculate the prime factors of 4695 and 4701.

Prime Factorization of 4695

Prime Factorization of 4701

Now multiplying the highest exponent prime factors to calculate the LCM of 4695 and 4701.

LCM(4695,4701) = 3¹ × 5¹ × 313¹ × 1567¹
LCM(4695,4701) = 7357065