What is the Least Common Multiple of 82040 and 82055?

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 82040 and 82055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82040 and 82055, than apply into the LCM equation.

GCF(82040,82055) = 5
LCM(82040,82055) = ( 82040 × 82055) / 5
LCM(82040,82055) = 6731792200 / 5
LCM(82040,82055) = 1346358440

Least Common Multiple (LCM) of 82040 and 82055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82040 and 82055. First we will calculate the prime factors of 82040 and 82055.

Prime Factorization of 82040

Prime Factorization of 82055

Now multiplying the highest exponent prime factors to calculate the LCM of 82040 and 82055.

LCM(82040,82055) = 2³ × 5¹ × 7¹ × 293¹ × 16411¹
LCM(82040,82055) = 1346358440