What is the Least Common Multiple of 70698 and 70717?

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 70698 and 70717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70698 and 70717, than apply into the LCM equation.

GCF(70698,70717) = 1
LCM(70698,70717) = ( 70698 × 70717) / 1
LCM(70698,70717) = 4999550466 / 1
LCM(70698,70717) = 4999550466

Least Common Multiple (LCM) of 70698 and 70717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70698 and 70717. First we will calculate the prime factors of 70698 and 70717.

Prime Factorization of 70698

Prime Factorization of 70717

Now multiplying the highest exponent prime factors to calculate the LCM of 70698 and 70717.

LCM(70698,70717) = 2¹ × 3¹ × 11783¹ × 70717¹
LCM(70698,70717) = 4999550466