What is the Least Common Multiple of 70085 and 70093?

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 70085 and 70093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70085 and 70093, than apply into the LCM equation.

GCF(70085,70093) = 1
LCM(70085,70093) = ( 70085 × 70093) / 1
LCM(70085,70093) = 4912467905 / 1
LCM(70085,70093) = 4912467905

Least Common Multiple (LCM) of 70085 and 70093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70085 and 70093. First we will calculate the prime factors of 70085 and 70093.

Prime Factorization of 70085

Prime Factorization of 70093

Now multiplying the highest exponent prime factors to calculate the LCM of 70085 and 70093.

LCM(70085,70093) = 5¹ × 107¹ × 131¹ × 29¹ × 2417¹
LCM(70085,70093) = 4912467905