What is the Least Common Multiple of 69400 and 69405?

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 69400 and 69405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69400 and 69405, than apply into the LCM equation.

GCF(69400,69405) = 5
LCM(69400,69405) = ( 69400 × 69405) / 5
LCM(69400,69405) = 4816707000 / 5
LCM(69400,69405) = 963341400

Least Common Multiple (LCM) of 69400 and 69405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69400 and 69405. First we will calculate the prime factors of 69400 and 69405.

Prime Factorization of 69400

Prime Factorization of 69405

Now multiplying the highest exponent prime factors to calculate the LCM of 69400 and 69405.

LCM(69400,69405) = 2³ × 5² × 347¹ × 3¹ × 7¹ × 661¹
LCM(69400,69405) = 963341400