What is the Least Common Multiple of 82431 and 82438?

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 82431 and 82438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82431 and 82438, than apply into the LCM equation.

GCF(82431,82438) = 1
LCM(82431,82438) = ( 82431 × 82438) / 1
LCM(82431,82438) = 6795446778 / 1
LCM(82431,82438) = 6795446778

Least Common Multiple (LCM) of 82431 and 82438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82431 and 82438. First we will calculate the prime factors of 82431 and 82438.

Prime Factorization of 82431

Prime Factorization of 82438

Now multiplying the highest exponent prime factors to calculate the LCM of 82431 and 82438.

LCM(82431,82438) = 3³ × 43¹ × 71¹ × 2¹ × 47¹ × 877¹
LCM(82431,82438) = 6795446778