What is the Least Common Multiple of 70431 and 70449?

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 70431 and 70449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70431 and 70449, than apply into the LCM equation.

GCF(70431,70449) = 3
LCM(70431,70449) = ( 70431 × 70449) / 3
LCM(70431,70449) = 4961793519 / 3
LCM(70431,70449) = 1653931173

Least Common Multiple (LCM) of 70431 and 70449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70431 and 70449. First we will calculate the prime factors of 70431 and 70449.

Prime Factorization of 70431

Prime Factorization of 70449

Now multiplying the highest exponent prime factors to calculate the LCM of 70431 and 70449.

LCM(70431,70449) = 3¹ × 17¹ × 1381¹ × 23¹ × 1021¹
LCM(70431,70449) = 1653931173