What is the Least Common Multiple of 4686 and 4698?

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 4698 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 4698, than apply into the LCM equation.

GCF(4686,4698) = 6
LCM(4686,4698) = ( 4686 × 4698) / 6
LCM(4686,4698) = 22014828 / 6
LCM(4686,4698) = 3669138

Least Common Multiple (LCM) of 4686 and 4698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4686 and 4698. First we will calculate the prime factors of 4686 and 4698.

Prime Factorization of 4686

Prime Factorization of 4698

Now multiplying the highest exponent prime factors to calculate the LCM of 4686 and 4698.

LCM(4686,4698) = 2¹ × 3⁴ × 11¹ × 71¹ × 29¹
LCM(4686,4698) = 3669138