What is the Least Common Multiple of 53382 and 53394?

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 53394 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 53394, than apply into the LCM equation.

GCF(53382,53394) = 6
LCM(53382,53394) = ( 53382 × 53394) / 6
LCM(53382,53394) = 2850278508 / 6
LCM(53382,53394) = 475046418

Least Common Multiple (LCM) of 53382 and 53394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53382 and 53394. First we will calculate the prime factors of 53382 and 53394.

Prime Factorization of 53382

Prime Factorization of 53394

Now multiplying the highest exponent prime factors to calculate the LCM of 53382 and 53394.

LCM(53382,53394) = 2¹ × 3¹ × 7¹ × 31¹ × 41¹ × 11¹ × 809¹
LCM(53382,53394) = 475046418