What is the Least Common Multiple of 15069 and 15078?

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 15069 and 15078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15069 and 15078, than apply into the LCM equation.

GCF(15069,15078) = 3
LCM(15069,15078) = ( 15069 × 15078) / 3
LCM(15069,15078) = 227210382 / 3
LCM(15069,15078) = 75736794

Least Common Multiple (LCM) of 15069 and 15078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15069 and 15078. First we will calculate the prime factors of 15069 and 15078.

Prime Factorization of 15069

Prime Factorization of 15078

Now multiplying the highest exponent prime factors to calculate the LCM of 15069 and 15078.

LCM(15069,15078) = 3¹ × 5023¹ × 2¹ × 7¹ × 359¹
LCM(15069,15078) = 75736794