What is the Least Common Multiple of 69500 and 69512?

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 69500 and 69512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69500 and 69512, than apply into the LCM equation.

GCF(69500,69512) = 4
LCM(69500,69512) = ( 69500 × 69512) / 4
LCM(69500,69512) = 4831084000 / 4
LCM(69500,69512) = 1207771000

Least Common Multiple (LCM) of 69500 and 69512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69500 and 69512. First we will calculate the prime factors of 69500 and 69512.

Prime Factorization of 69500

Prime Factorization of 69512

Now multiplying the highest exponent prime factors to calculate the LCM of 69500 and 69512.

LCM(69500,69512) = 2³ × 5³ × 139¹ × 8689¹
LCM(69500,69512) = 1207771000