What is the Least Common Multiple of 42431 and 42449?

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 42431 and 42449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42431 and 42449, than apply into the LCM equation.

GCF(42431,42449) = 1
LCM(42431,42449) = ( 42431 × 42449) / 1
LCM(42431,42449) = 1801153519 / 1
LCM(42431,42449) = 1801153519

Least Common Multiple (LCM) of 42431 and 42449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42431 and 42449. First we will calculate the prime factors of 42431 and 42449.

Prime Factorization of 42431

Prime Factorization of 42449

Now multiplying the highest exponent prime factors to calculate the LCM of 42431 and 42449.

LCM(42431,42449) = 151¹ × 281¹ × 11¹ × 17¹ × 227¹
LCM(42431,42449) = 1801153519