What is the Least Common Multiple of 70801 and 70817?

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 70801 and 70817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70801 and 70817, than apply into the LCM equation.

GCF(70801,70817) = 1
LCM(70801,70817) = ( 70801 × 70817) / 1
LCM(70801,70817) = 5013914417 / 1
LCM(70801,70817) = 5013914417

Least Common Multiple (LCM) of 70801 and 70817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70801 and 70817. First we will calculate the prime factors of 70801 and 70817.

Prime Factorization of 70801

Prime Factorization of 70817

Now multiplying the highest exponent prime factors to calculate the LCM of 70801 and 70817.

LCM(70801,70817) = 101¹ × 701¹ × 23¹ × 3079¹
LCM(70801,70817) = 5013914417