What is the Least Common Multiple of 84850 and 84865?

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 84850 and 84865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84850 and 84865, than apply into the LCM equation.

GCF(84850,84865) = 5
LCM(84850,84865) = ( 84850 × 84865) / 5
LCM(84850,84865) = 7200795250 / 5
LCM(84850,84865) = 1440159050

Least Common Multiple (LCM) of 84850 and 84865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84850 and 84865. First we will calculate the prime factors of 84850 and 84865.

Prime Factorization of 84850

Prime Factorization of 84865

Now multiplying the highest exponent prime factors to calculate the LCM of 84850 and 84865.

LCM(84850,84865) = 2¹ × 5² × 1697¹ × 11¹ × 1543¹
LCM(84850,84865) = 1440159050