What is the Least Common Multiple of 48400 and 48405?

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 48400 and 48405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48400 and 48405, than apply into the LCM equation.

GCF(48400,48405) = 5
LCM(48400,48405) = ( 48400 × 48405) / 5
LCM(48400,48405) = 2342802000 / 5
LCM(48400,48405) = 468560400

Least Common Multiple (LCM) of 48400 and 48405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48400 and 48405. First we will calculate the prime factors of 48400 and 48405.

Prime Factorization of 48400

Prime Factorization of 48405

Now multiplying the highest exponent prime factors to calculate the LCM of 48400 and 48405.

LCM(48400,48405) = 2⁴ × 5² × 11² × 3¹ × 7¹ × 461¹
LCM(48400,48405) = 468560400