What is the Least Common Multiple of 11464 and 11479?

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 11464 and 11479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11464 and 11479, than apply into the LCM equation.

GCF(11464,11479) = 1
LCM(11464,11479) = ( 11464 × 11479) / 1
LCM(11464,11479) = 131595256 / 1
LCM(11464,11479) = 131595256

Least Common Multiple (LCM) of 11464 and 11479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11464 and 11479. First we will calculate the prime factors of 11464 and 11479.

Prime Factorization of 11464

Prime Factorization of 11479

Now multiplying the highest exponent prime factors to calculate the LCM of 11464 and 11479.

LCM(11464,11479) = 2³ × 1433¹ × 13¹ × 883¹
LCM(11464,11479) = 131595256