What is the Least Common Multiple of 69357 and 69377?

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 69357 and 69377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69357 and 69377, than apply into the LCM equation.

GCF(69357,69377) = 1
LCM(69357,69377) = ( 69357 × 69377) / 1
LCM(69357,69377) = 4811780589 / 1
LCM(69357,69377) = 4811780589

Least Common Multiple (LCM) of 69357 and 69377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69357 and 69377. First we will calculate the prime factors of 69357 and 69377.

Prime Factorization of 69357

Prime Factorization of 69377

Now multiplying the highest exponent prime factors to calculate the LCM of 69357 and 69377.

LCM(69357,69377) = 3¹ × 61¹ × 379¹ × 7¹ × 11¹ × 17¹ × 53¹
LCM(69357,69377) = 4811780589