What is the Least Common Multiple of 82428 and 82441?

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 82428 and 82441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82428 and 82441, than apply into the LCM equation.

GCF(82428,82441) = 1
LCM(82428,82441) = ( 82428 × 82441) / 1
LCM(82428,82441) = 6795446748 / 1
LCM(82428,82441) = 6795446748

Least Common Multiple (LCM) of 82428 and 82441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82428 and 82441. First we will calculate the prime factors of 82428 and 82441.

Prime Factorization of 82428

Prime Factorization of 82441

Now multiplying the highest exponent prime factors to calculate the LCM of 82428 and 82441.

LCM(82428,82441) = 2² × 3¹ × 6869¹ × 19¹ × 4339¹
LCM(82428,82441) = 6795446748