What is the Least Common Multiple of 85830 and 85850?

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 85830 and 85850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85830 and 85850, than apply into the LCM equation.

GCF(85830,85850) = 10
LCM(85830,85850) = ( 85830 × 85850) / 10
LCM(85830,85850) = 7368505500 / 10
LCM(85830,85850) = 736850550

Least Common Multiple (LCM) of 85830 and 85850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85830 and 85850. First we will calculate the prime factors of 85830 and 85850.

Prime Factorization of 85830

Prime Factorization of 85850

Now multiplying the highest exponent prime factors to calculate the LCM of 85830 and 85850.

LCM(85830,85850) = 2¹ × 3¹ × 5² × 2861¹ × 17¹ × 101¹
LCM(85830,85850) = 736850550