What is the Least Common Multiple of 69688 and 69700?

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 69688 and 69700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69688 and 69700, than apply into the LCM equation.

GCF(69688,69700) = 4
LCM(69688,69700) = ( 69688 × 69700) / 4
LCM(69688,69700) = 4857253600 / 4
LCM(69688,69700) = 1214313400

Least Common Multiple (LCM) of 69688 and 69700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69688 and 69700. First we will calculate the prime factors of 69688 and 69700.

Prime Factorization of 69688

Prime Factorization of 69700

Now multiplying the highest exponent prime factors to calculate the LCM of 69688 and 69700.

LCM(69688,69700) = 2³ × 31¹ × 281¹ × 5² × 17¹ × 41¹
LCM(69688,69700) = 1214313400