What is the Least Common Multiple of 70013 and 70031?

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 70013 and 70031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70013 and 70031, than apply into the LCM equation.

GCF(70013,70031) = 1
LCM(70013,70031) = ( 70013 × 70031) / 1
LCM(70013,70031) = 4903080403 / 1
LCM(70013,70031) = 4903080403

Least Common Multiple (LCM) of 70013 and 70031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70013 and 70031. First we will calculate the prime factors of 70013 and 70031.

Prime Factorization of 70013

Prime Factorization of 70031

Now multiplying the highest exponent prime factors to calculate the LCM of 70013 and 70031.

LCM(70013,70031) = 53¹ × 1321¹ × 13¹ × 5387¹
LCM(70013,70031) = 4903080403