What is the Least Common Multiple of 11047 and 11058?

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 11047 and 11058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11047 and 11058, than apply into the LCM equation.

GCF(11047,11058) = 1
LCM(11047,11058) = ( 11047 × 11058) / 1
LCM(11047,11058) = 122157726 / 1
LCM(11047,11058) = 122157726

Least Common Multiple (LCM) of 11047 and 11058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11047 and 11058. First we will calculate the prime factors of 11047 and 11058.

Prime Factorization of 11047

Prime Factorization of 11058

Now multiplying the highest exponent prime factors to calculate the LCM of 11047 and 11058.

LCM(11047,11058) = 11047¹ × 2¹ × 3¹ × 19¹ × 97¹
LCM(11047,11058) = 122157726