What is the Least Common Multiple of 69530 and 69547?

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 69530 and 69547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69530 and 69547, than apply into the LCM equation.

GCF(69530,69547) = 17
LCM(69530,69547) = ( 69530 × 69547) / 17
LCM(69530,69547) = 4835602910 / 17
LCM(69530,69547) = 284447230

Least Common Multiple (LCM) of 69530 and 69547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69530 and 69547. First we will calculate the prime factors of 69530 and 69547.

Prime Factorization of 69530

Prime Factorization of 69547

Now multiplying the highest exponent prime factors to calculate the LCM of 69530 and 69547.

LCM(69530,69547) = 2¹ × 5¹ × 17¹ × 409¹ × 4091¹
LCM(69530,69547) = 284447230