What is the Least Common Multiple of 18261 and 18276?

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 18261 and 18276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18261 and 18276, than apply into the LCM equation.

GCF(18261,18276) = 3
LCM(18261,18276) = ( 18261 × 18276) / 3
LCM(18261,18276) = 333738036 / 3
LCM(18261,18276) = 111246012

Least Common Multiple (LCM) of 18261 and 18276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18261 and 18276. First we will calculate the prime factors of 18261 and 18276.

Prime Factorization of 18261

Prime Factorization of 18276

Now multiplying the highest exponent prime factors to calculate the LCM of 18261 and 18276.

LCM(18261,18276) = 3² × 2029¹ × 2² × 1523¹
LCM(18261,18276) = 111246012