What is the Least Common Multiple of 89600 and 89605?

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 89600 and 89605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89600 and 89605, than apply into the LCM equation.

GCF(89600,89605) = 5
LCM(89600,89605) = ( 89600 × 89605) / 5
LCM(89600,89605) = 8028608000 / 5
LCM(89600,89605) = 1605721600

Least Common Multiple (LCM) of 89600 and 89605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89600 and 89605. First we will calculate the prime factors of 89600 and 89605.

Prime Factorization of 89600

Prime Factorization of 89605

Now multiplying the highest exponent prime factors to calculate the LCM of 89600 and 89605.

LCM(89600,89605) = 2⁹ × 5² × 7¹ × 17921¹
LCM(89600,89605) = 1605721600