What is the Least Common Multiple of 30789 and 30807?

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 30807 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 30807, than apply into the LCM equation.

GCF(30789,30807) = 9
LCM(30789,30807) = ( 30789 × 30807) / 9
LCM(30789,30807) = 948516723 / 9
LCM(30789,30807) = 105390747

Least Common Multiple (LCM) of 30789 and 30807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30789 and 30807. First we will calculate the prime factors of 30789 and 30807.

Prime Factorization of 30789

Prime Factorization of 30807

Now multiplying the highest exponent prime factors to calculate the LCM of 30789 and 30807.

LCM(30789,30807) = 3³ × 11¹ × 311¹ × 7¹ × 163¹
LCM(30789,30807) = 105390747