What is the Least Common Multiple of 36258 and 36276?

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 36258 and 36276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36258 and 36276, than apply into the LCM equation.

GCF(36258,36276) = 6
LCM(36258,36276) = ( 36258 × 36276) / 6
LCM(36258,36276) = 1315295208 / 6
LCM(36258,36276) = 219215868

Least Common Multiple (LCM) of 36258 and 36276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36258 and 36276. First we will calculate the prime factors of 36258 and 36276.

Prime Factorization of 36258

Prime Factorization of 36276

Now multiplying the highest exponent prime factors to calculate the LCM of 36258 and 36276.

LCM(36258,36276) = 2² × 3¹ × 6043¹ × 3023¹
LCM(36258,36276) = 219215868