What is the Least Common Multiple of 85600 and 85605?

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 85600 and 85605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85600 and 85605, than apply into the LCM equation.

GCF(85600,85605) = 5
LCM(85600,85605) = ( 85600 × 85605) / 5
LCM(85600,85605) = 7327788000 / 5
LCM(85600,85605) = 1465557600

Least Common Multiple (LCM) of 85600 and 85605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85600 and 85605. First we will calculate the prime factors of 85600 and 85605.

Prime Factorization of 85600

Prime Factorization of 85605

Now multiplying the highest exponent prime factors to calculate the LCM of 85600 and 85605.

LCM(85600,85605) = 2⁵ × 5² × 107¹ × 3¹ × 13¹ × 439¹
LCM(85600,85605) = 1465557600