What is the Least Common Multiple of 82830 and 82845?

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 82830 and 82845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82830 and 82845, than apply into the LCM equation.

GCF(82830,82845) = 15
LCM(82830,82845) = ( 82830 × 82845) / 15
LCM(82830,82845) = 6862051350 / 15
LCM(82830,82845) = 457470090

Least Common Multiple (LCM) of 82830 and 82845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82830 and 82845. First we will calculate the prime factors of 82830 and 82845.

Prime Factorization of 82830

Prime Factorization of 82845

Now multiplying the highest exponent prime factors to calculate the LCM of 82830 and 82845.

LCM(82830,82845) = 2¹ × 3² × 5¹ × 11¹ × 251¹ × 7¹ × 263¹
LCM(82830,82845) = 457470090