What is the Least Common Multiple of 70467 and 70481?

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 70467 and 70481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70467 and 70481, than apply into the LCM equation.

GCF(70467,70481) = 1
LCM(70467,70481) = ( 70467 × 70481) / 1
LCM(70467,70481) = 4966584627 / 1
LCM(70467,70481) = 4966584627

Least Common Multiple (LCM) of 70467 and 70481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70467 and 70481. First we will calculate the prime factors of 70467 and 70481.

Prime Factorization of 70467

Prime Factorization of 70481

Now multiplying the highest exponent prime factors to calculate the LCM of 70467 and 70481.

LCM(70467,70481) = 3¹ × 83¹ × 283¹ × 70481¹
LCM(70467,70481) = 4966584627