What is the Least Common Multiple of 69488 and 69500?

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 69488 and 69500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69488 and 69500, than apply into the LCM equation.

GCF(69488,69500) = 4
LCM(69488,69500) = ( 69488 × 69500) / 4
LCM(69488,69500) = 4829416000 / 4
LCM(69488,69500) = 1207354000

Least Common Multiple (LCM) of 69488 and 69500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69488 and 69500. First we will calculate the prime factors of 69488 and 69500.

Prime Factorization of 69488

Prime Factorization of 69500

Now multiplying the highest exponent prime factors to calculate the LCM of 69488 and 69500.

LCM(69488,69500) = 2⁴ × 43¹ × 101¹ × 5³ × 139¹
LCM(69488,69500) = 1207354000