What is the Least Common Multiple of 70803 and 70807?

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 70803 and 70807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70803 and 70807, than apply into the LCM equation.

GCF(70803,70807) = 1
LCM(70803,70807) = ( 70803 × 70807) / 1
LCM(70803,70807) = 5013348021 / 1
LCM(70803,70807) = 5013348021

Least Common Multiple (LCM) of 70803 and 70807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70803 and 70807. First we will calculate the prime factors of 70803 and 70807.

Prime Factorization of 70803

Prime Factorization of 70807

Now multiplying the highest exponent prime factors to calculate the LCM of 70803 and 70807.

LCM(70803,70807) = 3² × 7867¹ × 11¹ × 41¹ × 157¹
LCM(70803,70807) = 5013348021