What is the Least Common Multiple of 72400 and 72405?

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 72400 and 72405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72400 and 72405, than apply into the LCM equation.

GCF(72400,72405) = 5
LCM(72400,72405) = ( 72400 × 72405) / 5
LCM(72400,72405) = 5242122000 / 5
LCM(72400,72405) = 1048424400

Least Common Multiple (LCM) of 72400 and 72405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72400 and 72405. First we will calculate the prime factors of 72400 and 72405.

Prime Factorization of 72400

Prime Factorization of 72405

Now multiplying the highest exponent prime factors to calculate the LCM of 72400 and 72405.

LCM(72400,72405) = 2⁴ × 5² × 181¹ × 3² × 1609¹
LCM(72400,72405) = 1048424400