What is the Least Common Multiple of 69513 and 69530?

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 69513 and 69530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69513 and 69530, than apply into the LCM equation.

GCF(69513,69530) = 17
LCM(69513,69530) = ( 69513 × 69530) / 17
LCM(69513,69530) = 4833238890 / 17
LCM(69513,69530) = 284308170

Least Common Multiple (LCM) of 69513 and 69530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69513 and 69530. First we will calculate the prime factors of 69513 and 69530.

Prime Factorization of 69513

Prime Factorization of 69530

Now multiplying the highest exponent prime factors to calculate the LCM of 69513 and 69530.

LCM(69513,69530) = 3¹ × 17¹ × 29¹ × 47¹ × 2¹ × 5¹ × 409¹
LCM(69513,69530) = 284308170