What is the Least Common Multiple of 82350 and 82365?

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 82350 and 82365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82350 and 82365, than apply into the LCM equation.

GCF(82350,82365) = 15
LCM(82350,82365) = ( 82350 × 82365) / 15
LCM(82350,82365) = 6782757750 / 15
LCM(82350,82365) = 452183850

Least Common Multiple (LCM) of 82350 and 82365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82350 and 82365. First we will calculate the prime factors of 82350 and 82365.

Prime Factorization of 82350

Prime Factorization of 82365

Now multiplying the highest exponent prime factors to calculate the LCM of 82350 and 82365.

LCM(82350,82365) = 2¹ × 3³ × 5² × 61¹ × 17² × 19¹
LCM(82350,82365) = 452183850