What is the Least Common Multiple of 30069 and 30078?

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 30069 and 30078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30069 and 30078, than apply into the LCM equation.

GCF(30069,30078) = 9
LCM(30069,30078) = ( 30069 × 30078) / 9
LCM(30069,30078) = 904415382 / 9
LCM(30069,30078) = 100490598

Least Common Multiple (LCM) of 30069 and 30078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30069 and 30078. First we will calculate the prime factors of 30069 and 30078.

Prime Factorization of 30069

Prime Factorization of 30078

Now multiplying the highest exponent prime factors to calculate the LCM of 30069 and 30078.

LCM(30069,30078) = 3³ × 13¹ × 257¹ × 2¹ × 557¹
LCM(30069,30078) = 100490598