What is the Least Common Multiple of 18789 and 18801?

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 18789 and 18801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18789 and 18801, than apply into the LCM equation.

GCF(18789,18801) = 3
LCM(18789,18801) = ( 18789 × 18801) / 3
LCM(18789,18801) = 353251989 / 3
LCM(18789,18801) = 117750663

Least Common Multiple (LCM) of 18789 and 18801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18789 and 18801. First we will calculate the prime factors of 18789 and 18801.

Prime Factorization of 18789

Prime Factorization of 18801

Now multiplying the highest exponent prime factors to calculate the LCM of 18789 and 18801.

LCM(18789,18801) = 3² × 6263¹ × 2089¹
LCM(18789,18801) = 117750663