What is the Least Common Multiple of 70990 and 71000?

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 70990 and 71000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70990 and 71000, than apply into the LCM equation.

GCF(70990,71000) = 10
LCM(70990,71000) = ( 70990 × 71000) / 10
LCM(70990,71000) = 5040290000 / 10
LCM(70990,71000) = 504029000

Least Common Multiple (LCM) of 70990 and 71000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70990 and 71000. First we will calculate the prime factors of 70990 and 71000.

Prime Factorization of 70990

Prime Factorization of 71000

Now multiplying the highest exponent prime factors to calculate the LCM of 70990 and 71000.

LCM(70990,71000) = 2³ × 5³ × 31¹ × 229¹ × 71¹
LCM(70990,71000) = 504029000