What is the Least Common Multiple of 10850 and 10869?

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 10850 and 10869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10850 and 10869, than apply into the LCM equation.

GCF(10850,10869) = 1
LCM(10850,10869) = ( 10850 × 10869) / 1
LCM(10850,10869) = 117928650 / 1
LCM(10850,10869) = 117928650

Least Common Multiple (LCM) of 10850 and 10869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10850 and 10869. First we will calculate the prime factors of 10850 and 10869.

Prime Factorization of 10850

Prime Factorization of 10869

Now multiplying the highest exponent prime factors to calculate the LCM of 10850 and 10869.

LCM(10850,10869) = 2¹ × 5² × 7¹ × 31¹ × 3¹ × 3623¹
LCM(10850,10869) = 117928650