What is the Least Common Multiple of 82438 and 82454?

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 82438 and 82454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82438 and 82454, than apply into the LCM equation.

GCF(82438,82454) = 2
LCM(82438,82454) = ( 82438 × 82454) / 2
LCM(82438,82454) = 6797342852 / 2
LCM(82438,82454) = 3398671426

Least Common Multiple (LCM) of 82438 and 82454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82438 and 82454. First we will calculate the prime factors of 82438 and 82454.

Prime Factorization of 82438

Prime Factorization of 82454

Now multiplying the highest exponent prime factors to calculate the LCM of 82438 and 82454.

LCM(82438,82454) = 2¹ × 47¹ × 877¹ × 41227¹
LCM(82438,82454) = 3398671426