What is the Least Common Multiple of 71004 and 71024?

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 71004 and 71024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71004 and 71024, than apply into the LCM equation.

GCF(71004,71024) = 4
LCM(71004,71024) = ( 71004 × 71024) / 4
LCM(71004,71024) = 5042988096 / 4
LCM(71004,71024) = 1260747024

Least Common Multiple (LCM) of 71004 and 71024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71004 and 71024. First we will calculate the prime factors of 71004 and 71024.

Prime Factorization of 71004

Prime Factorization of 71024

Now multiplying the highest exponent prime factors to calculate the LCM of 71004 and 71024.

LCM(71004,71024) = 2⁴ × 3¹ × 61¹ × 97¹ × 23¹ × 193¹
LCM(71004,71024) = 1260747024