What is the Least Common Multiple of 53382 and 53389?

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 53382 and 53389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53382 and 53389, than apply into the LCM equation.

GCF(53382,53389) = 7
LCM(53382,53389) = ( 53382 × 53389) / 7
LCM(53382,53389) = 2850011598 / 7
LCM(53382,53389) = 407144514

Least Common Multiple (LCM) of 53382 and 53389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53382 and 53389. First we will calculate the prime factors of 53382 and 53389.

Prime Factorization of 53382

Prime Factorization of 53389

Now multiplying the highest exponent prime factors to calculate the LCM of 53382 and 53389.

LCM(53382,53389) = 2¹ × 3¹ × 7¹ × 31¹ × 41¹ × 29¹ × 263¹
LCM(53382,53389) = 407144514