What is the Least Common Multiple of 69405 and 69413?

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 69405 and 69413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69405 and 69413, than apply into the LCM equation.

GCF(69405,69413) = 1
LCM(69405,69413) = ( 69405 × 69413) / 1
LCM(69405,69413) = 4817609265 / 1
LCM(69405,69413) = 4817609265

Least Common Multiple (LCM) of 69405 and 69413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69405 and 69413. First we will calculate the prime factors of 69405 and 69413.

Prime Factorization of 69405

Prime Factorization of 69413

Now multiplying the highest exponent prime factors to calculate the LCM of 69405 and 69413.

LCM(69405,69413) = 3¹ × 5¹ × 7¹ × 661¹ × 41¹ × 1693¹
LCM(69405,69413) = 4817609265