What is the Least Common Multiple of 70005 and 70013?

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 70005 and 70013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70005 and 70013, than apply into the LCM equation.

GCF(70005,70013) = 1
LCM(70005,70013) = ( 70005 × 70013) / 1
LCM(70005,70013) = 4901260065 / 1
LCM(70005,70013) = 4901260065

Least Common Multiple (LCM) of 70005 and 70013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70005 and 70013. First we will calculate the prime factors of 70005 and 70013.

Prime Factorization of 70005

Prime Factorization of 70013

Now multiplying the highest exponent prime factors to calculate the LCM of 70005 and 70013.

LCM(70005,70013) = 3¹ × 5¹ × 13¹ × 359¹ × 53¹ × 1321¹
LCM(70005,70013) = 4901260065