What is the Least Common Multiple of 85850 and 85856?

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 85850 and 85856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85850 and 85856, than apply into the LCM equation.

GCF(85850,85856) = 2
LCM(85850,85856) = ( 85850 × 85856) / 2
LCM(85850,85856) = 7370737600 / 2
LCM(85850,85856) = 3685368800

Least Common Multiple (LCM) of 85850 and 85856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85850 and 85856. First we will calculate the prime factors of 85850 and 85856.

Prime Factorization of 85850

Prime Factorization of 85856

Now multiplying the highest exponent prime factors to calculate the LCM of 85850 and 85856.

LCM(85850,85856) = 2⁵ × 5² × 17¹ × 101¹ × 2683¹
LCM(85850,85856) = 3685368800