What is the Least Common Multiple of 70315 and 70331?

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 70315 and 70331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70315 and 70331, than apply into the LCM equation.

GCF(70315,70331) = 1
LCM(70315,70331) = ( 70315 × 70331) / 1
LCM(70315,70331) = 4945324265 / 1
LCM(70315,70331) = 4945324265

Least Common Multiple (LCM) of 70315 and 70331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70315 and 70331. First we will calculate the prime factors of 70315 and 70331.

Prime Factorization of 70315

Prime Factorization of 70331

Now multiplying the highest exponent prime factors to calculate the LCM of 70315 and 70331.

LCM(70315,70331) = 5¹ × 7³ × 41¹ × 53¹ × 1327¹
LCM(70315,70331) = 4945324265