What is the Least Common Multiple of 4644 and 4663?

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 4644 and 4663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4644 and 4663, than apply into the LCM equation.

GCF(4644,4663) = 1
LCM(4644,4663) = ( 4644 × 4663) / 1
LCM(4644,4663) = 21654972 / 1
LCM(4644,4663) = 21654972

Least Common Multiple (LCM) of 4644 and 4663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4644 and 4663. First we will calculate the prime factors of 4644 and 4663.

Prime Factorization of 4644

Prime Factorization of 4663

Now multiplying the highest exponent prime factors to calculate the LCM of 4644 and 4663.

LCM(4644,4663) = 2² × 3³ × 43¹ × 4663¹
LCM(4644,4663) = 21654972