What is the Least Common Multiple of 70085 and 70095?

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 70095 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 70095, than apply into the LCM equation.

GCF(70085,70095) = 5
LCM(70085,70095) = ( 70085 × 70095) / 5
LCM(70085,70095) = 4912608075 / 5
LCM(70085,70095) = 982521615

Least Common Multiple (LCM) of 70085 and 70095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70085 and 70095. First we will calculate the prime factors of 70085 and 70095.

Prime Factorization of 70085

Prime Factorization of 70095

Now multiplying the highest exponent prime factors to calculate the LCM of 70085 and 70095.

LCM(70085,70095) = 5¹ × 107¹ × 131¹ × 3¹ × 4673¹
LCM(70085,70095) = 982521615