What is the Least Common Multiple of 69391 and 69405?

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 69391 and 69405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69391 and 69405, than apply into the LCM equation.

GCF(69391,69405) = 7
LCM(69391,69405) = ( 69391 × 69405) / 7
LCM(69391,69405) = 4816082355 / 7
LCM(69391,69405) = 688011765

Least Common Multiple (LCM) of 69391 and 69405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69391 and 69405. First we will calculate the prime factors of 69391 and 69405.

Prime Factorization of 69391

Prime Factorization of 69405

Now multiplying the highest exponent prime factors to calculate the LCM of 69391 and 69405.

LCM(69391,69405) = 7¹ × 23¹ × 431¹ × 3¹ × 5¹ × 661¹
LCM(69391,69405) = 688011765