What is the Least Common Multiple of 14823 and 14836?

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 14823 and 14836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14823 and 14836, than apply into the LCM equation.

GCF(14823,14836) = 1
LCM(14823,14836) = ( 14823 × 14836) / 1
LCM(14823,14836) = 219914028 / 1
LCM(14823,14836) = 219914028

Least Common Multiple (LCM) of 14823 and 14836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14823 and 14836. First we will calculate the prime factors of 14823 and 14836.

Prime Factorization of 14823

Prime Factorization of 14836

Now multiplying the highest exponent prime factors to calculate the LCM of 14823 and 14836.

LCM(14823,14836) = 3⁵ × 61¹ × 2² × 3709¹
LCM(14823,14836) = 219914028