What is the Least Common Multiple of 69382 and 69400?

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 69382 and 69400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69382 and 69400, than apply into the LCM equation.

GCF(69382,69400) = 2
LCM(69382,69400) = ( 69382 × 69400) / 2
LCM(69382,69400) = 4815110800 / 2
LCM(69382,69400) = 2407555400

Least Common Multiple (LCM) of 69382 and 69400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69382 and 69400. First we will calculate the prime factors of 69382 and 69400.

Prime Factorization of 69382

Prime Factorization of 69400

Now multiplying the highest exponent prime factors to calculate the LCM of 69382 and 69400.

LCM(69382,69400) = 2³ × 113¹ × 307¹ × 5² × 347¹
LCM(69382,69400) = 2407555400