What is the Least Common Multiple of 71288 and 71296?

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 71288 and 71296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71288 and 71296, than apply into the LCM equation.

GCF(71288,71296) = 8
LCM(71288,71296) = ( 71288 × 71296) / 8
LCM(71288,71296) = 5082549248 / 8
LCM(71288,71296) = 635318656

Least Common Multiple (LCM) of 71288 and 71296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71288 and 71296. First we will calculate the prime factors of 71288 and 71296.

Prime Factorization of 71288

Prime Factorization of 71296

Now multiplying the highest exponent prime factors to calculate the LCM of 71288 and 71296.

LCM(71288,71296) = 2⁷ × 7¹ × 19¹ × 67¹ × 557¹
LCM(71288,71296) = 635318656