What is the Least Common Multiple of 70389 and 70407?

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 70389 and 70407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70389 and 70407, than apply into the LCM equation.

GCF(70389,70407) = 9
LCM(70389,70407) = ( 70389 × 70407) / 9
LCM(70389,70407) = 4955878323 / 9
LCM(70389,70407) = 550653147

Least Common Multiple (LCM) of 70389 and 70407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70389 and 70407. First we will calculate the prime factors of 70389 and 70407.

Prime Factorization of 70389

Prime Factorization of 70407

Now multiplying the highest exponent prime factors to calculate the LCM of 70389 and 70407.

LCM(70389,70407) = 3⁴ × 11¹ × 79¹ × 7823¹
LCM(70389,70407) = 550653147