What is the Least Common Multiple of 36300 and 36315?

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 36300 and 36315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36300 and 36315, than apply into the LCM equation.

GCF(36300,36315) = 15
LCM(36300,36315) = ( 36300 × 36315) / 15
LCM(36300,36315) = 1318234500 / 15
LCM(36300,36315) = 87882300

Least Common Multiple (LCM) of 36300 and 36315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36300 and 36315. First we will calculate the prime factors of 36300 and 36315.

Prime Factorization of 36300

Prime Factorization of 36315

Now multiplying the highest exponent prime factors to calculate the LCM of 36300 and 36315.

LCM(36300,36315) = 2² × 3³ × 5² × 11² × 269¹
LCM(36300,36315) = 87882300