What is the Least Common Multiple of 71024 and 71040?

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 71024 and 71040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71024 and 71040, than apply into the LCM equation.

GCF(71024,71040) = 16
LCM(71024,71040) = ( 71024 × 71040) / 16
LCM(71024,71040) = 5045544960 / 16
LCM(71024,71040) = 315346560

Least Common Multiple (LCM) of 71024 and 71040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71024 and 71040. First we will calculate the prime factors of 71024 and 71040.

Prime Factorization of 71024

Prime Factorization of 71040

Now multiplying the highest exponent prime factors to calculate the LCM of 71024 and 71040.

LCM(71024,71040) = 2⁷ × 23¹ × 193¹ × 3¹ × 5¹ × 37¹
LCM(71024,71040) = 315346560