What is the Least Common Multiple of 42464 and 42481?

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 42464 and 42481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42464 and 42481, than apply into the LCM equation.

GCF(42464,42481) = 1
LCM(42464,42481) = ( 42464 × 42481) / 1
LCM(42464,42481) = 1803913184 / 1
LCM(42464,42481) = 1803913184

Least Common Multiple (LCM) of 42464 and 42481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42464 and 42481. First we will calculate the prime factors of 42464 and 42481.

Prime Factorization of 42464

Prime Factorization of 42481

Now multiplying the highest exponent prime factors to calculate the LCM of 42464 and 42481.

LCM(42464,42481) = 2⁵ × 1327¹ × 23¹ × 1847¹
LCM(42464,42481) = 1803913184