What is the Least Common Multiple of 10830 and 10850?

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 10830 and 10850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10830 and 10850, than apply into the LCM equation.

GCF(10830,10850) = 10
LCM(10830,10850) = ( 10830 × 10850) / 10
LCM(10830,10850) = 117505500 / 10
LCM(10830,10850) = 11750550

Least Common Multiple (LCM) of 10830 and 10850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10830 and 10850. First we will calculate the prime factors of 10830 and 10850.

Prime Factorization of 10830

Prime Factorization of 10850

Now multiplying the highest exponent prime factors to calculate the LCM of 10830 and 10850.

LCM(10830,10850) = 2¹ × 3¹ × 5² × 19² × 7¹ × 31¹
LCM(10830,10850) = 11750550