What is the Least Common Multiple of 70889 and 70902?

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 70889 and 70902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70889 and 70902, than apply into the LCM equation.

GCF(70889,70902) = 13
LCM(70889,70902) = ( 70889 × 70902) / 13
LCM(70889,70902) = 5026171878 / 13
LCM(70889,70902) = 386628606

Least Common Multiple (LCM) of 70889 and 70902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70889 and 70902. First we will calculate the prime factors of 70889 and 70902.

Prime Factorization of 70889

Prime Factorization of 70902

Now multiplying the highest exponent prime factors to calculate the LCM of 70889 and 70902.

LCM(70889,70902) = 7¹ × 13¹ × 19¹ × 41¹ × 2¹ × 3³ × 101¹
LCM(70889,70902) = 386628606