What is the Least Common Multiple of 10985 and 11005?

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 10985 and 11005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10985 and 11005, than apply into the LCM equation.

GCF(10985,11005) = 5
LCM(10985,11005) = ( 10985 × 11005) / 5
LCM(10985,11005) = 120889925 / 5
LCM(10985,11005) = 24177985

Least Common Multiple (LCM) of 10985 and 11005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10985 and 11005. First we will calculate the prime factors of 10985 and 11005.

Prime Factorization of 10985

Prime Factorization of 11005

Now multiplying the highest exponent prime factors to calculate the LCM of 10985 and 11005.

LCM(10985,11005) = 5¹ × 13³ × 31¹ × 71¹
LCM(10985,11005) = 24177985