What is the Least Common Multiple of 85850 and 85870?

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 85870 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 85870, than apply into the LCM equation.

GCF(85850,85870) = 10
LCM(85850,85870) = ( 85850 × 85870) / 10
LCM(85850,85870) = 7371939500 / 10
LCM(85850,85870) = 737193950

Least Common Multiple (LCM) of 85850 and 85870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85850 and 85870. First we will calculate the prime factors of 85850 and 85870.

Prime Factorization of 85850

Prime Factorization of 85870

Now multiplying the highest exponent prime factors to calculate the LCM of 85850 and 85870.

LCM(85850,85870) = 2¹ × 5² × 17¹ × 101¹ × 31¹ × 277¹
LCM(85850,85870) = 737193950