What is the Least Common Multiple of 69374 and 69381?

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 69374 and 69381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69374 and 69381, than apply into the LCM equation.

GCF(69374,69381) = 1
LCM(69374,69381) = ( 69374 × 69381) / 1
LCM(69374,69381) = 4813237494 / 1
LCM(69374,69381) = 4813237494

Least Common Multiple (LCM) of 69374 and 69381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69374 and 69381. First we will calculate the prime factors of 69374 and 69381.

Prime Factorization of 69374

Prime Factorization of 69381

Now multiplying the highest exponent prime factors to calculate the LCM of 69374 and 69381.

LCM(69374,69381) = 2¹ × 34687¹ × 3² × 13¹ × 593¹
LCM(69374,69381) = 4813237494