What is the Least Common Multiple of 18060 and 18078?

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 18060 and 18078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18060 and 18078, than apply into the LCM equation.

GCF(18060,18078) = 6
LCM(18060,18078) = ( 18060 × 18078) / 6
LCM(18060,18078) = 326488680 / 6
LCM(18060,18078) = 54414780

Least Common Multiple (LCM) of 18060 and 18078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18060 and 18078. First we will calculate the prime factors of 18060 and 18078.

Prime Factorization of 18060

Prime Factorization of 18078

Now multiplying the highest exponent prime factors to calculate the LCM of 18060 and 18078.

LCM(18060,18078) = 2² × 3¹ × 5¹ × 7¹ × 43¹ × 23¹ × 131¹
LCM(18060,18078) = 54414780