What is the Least Common Multiple of 81300 and 81315?

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 81300 and 81315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81300 and 81315, than apply into the LCM equation.

GCF(81300,81315) = 15
LCM(81300,81315) = ( 81300 × 81315) / 15
LCM(81300,81315) = 6610909500 / 15
LCM(81300,81315) = 440727300

Least Common Multiple (LCM) of 81300 and 81315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81300 and 81315. First we will calculate the prime factors of 81300 and 81315.

Prime Factorization of 81300

Prime Factorization of 81315

Now multiplying the highest exponent prime factors to calculate the LCM of 81300 and 81315.

LCM(81300,81315) = 2² × 3² × 5² × 271¹ × 13¹ × 139¹
LCM(81300,81315) = 440727300