What is the Least Common Multiple of 70889 and 70903?

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 70903 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 70903, than apply into the LCM equation.

GCF(70889,70903) = 7
LCM(70889,70903) = ( 70889 × 70903) / 7
LCM(70889,70903) = 5026242767 / 7
LCM(70889,70903) = 718034681

Least Common Multiple (LCM) of 70889 and 70903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70889 and 70903. First we will calculate the prime factors of 70889 and 70903.

Prime Factorization of 70889

Prime Factorization of 70903

Now multiplying the highest exponent prime factors to calculate the LCM of 70889 and 70903.

LCM(70889,70903) = 7² × 13¹ × 19¹ × 41¹ × 1447¹
LCM(70889,70903) = 718034681