What is the Least Common Multiple of 74382 and 74389?

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 74382 and 74389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74382 and 74389, than apply into the LCM equation.

GCF(74382,74389) = 7
LCM(74382,74389) = ( 74382 × 74389) / 7
LCM(74382,74389) = 5533202598 / 7
LCM(74382,74389) = 790457514

Least Common Multiple (LCM) of 74382 and 74389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74382 and 74389. First we will calculate the prime factors of 74382 and 74389.

Prime Factorization of 74382

Prime Factorization of 74389

Now multiplying the highest exponent prime factors to calculate the LCM of 74382 and 74389.

LCM(74382,74389) = 2¹ × 3¹ × 7² × 11¹ × 23¹ × 10627¹
LCM(74382,74389) = 790457514