What is the Least Common Multiple of 79398 and 79407?

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 79398 and 79407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79398 and 79407, than apply into the LCM equation.

GCF(79398,79407) = 9
LCM(79398,79407) = ( 79398 × 79407) / 9
LCM(79398,79407) = 6304756986 / 9
LCM(79398,79407) = 700528554

Least Common Multiple (LCM) of 79398 and 79407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79398 and 79407. First we will calculate the prime factors of 79398 and 79407.

Prime Factorization of 79398

Prime Factorization of 79407

Now multiplying the highest exponent prime factors to calculate the LCM of 79398 and 79407.

LCM(79398,79407) = 2¹ × 3³ × 11¹ × 401¹ × 17¹ × 173¹
LCM(79398,79407) = 700528554