What is the Least Common Multiple of 70458 and 70474?

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 70458 and 70474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70458 and 70474, than apply into the LCM equation.

GCF(70458,70474) = 2
LCM(70458,70474) = ( 70458 × 70474) / 2
LCM(70458,70474) = 4965457092 / 2
LCM(70458,70474) = 2482728546

Least Common Multiple (LCM) of 70458 and 70474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70458 and 70474. First we will calculate the prime factors of 70458 and 70474.

Prime Factorization of 70458

Prime Factorization of 70474

Now multiplying the highest exponent prime factors to calculate the LCM of 70458 and 70474.

LCM(70458,70474) = 2¹ × 3¹ × 11743¹ × 167¹ × 211¹
LCM(70458,70474) = 2482728546