What is the Least Common Multiple of 43265 and 43282?

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 43265 and 43282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43265 and 43282, than apply into the LCM equation.

GCF(43265,43282) = 17
LCM(43265,43282) = ( 43265 × 43282) / 17
LCM(43265,43282) = 1872595730 / 17
LCM(43265,43282) = 110152690

Least Common Multiple (LCM) of 43265 and 43282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43265 and 43282. First we will calculate the prime factors of 43265 and 43282.

Prime Factorization of 43265

Prime Factorization of 43282

Now multiplying the highest exponent prime factors to calculate the LCM of 43265 and 43282.

LCM(43265,43282) = 5¹ × 17¹ × 509¹ × 2¹ × 19¹ × 67¹
LCM(43265,43282) = 110152690