What is the Least Common Multiple of 30789 and 30801?

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 30789 and 30801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30789 and 30801, than apply into the LCM equation.

GCF(30789,30801) = 3
LCM(30789,30801) = ( 30789 × 30801) / 3
LCM(30789,30801) = 948331989 / 3
LCM(30789,30801) = 316110663

Least Common Multiple (LCM) of 30789 and 30801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30789 and 30801. First we will calculate the prime factors of 30789 and 30801.

Prime Factorization of 30789

Prime Factorization of 30801

Now multiplying the highest exponent prime factors to calculate the LCM of 30789 and 30801.

LCM(30789,30801) = 3² × 11¹ × 311¹ × 10267¹
LCM(30789,30801) = 316110663