What is the Least Common Multiple of 11036 and 11048?

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 11036 and 11048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11036 and 11048, than apply into the LCM equation.

GCF(11036,11048) = 4
LCM(11036,11048) = ( 11036 × 11048) / 4
LCM(11036,11048) = 121925728 / 4
LCM(11036,11048) = 30481432

Least Common Multiple (LCM) of 11036 and 11048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11036 and 11048. First we will calculate the prime factors of 11036 and 11048.

Prime Factorization of 11036

Prime Factorization of 11048

Now multiplying the highest exponent prime factors to calculate the LCM of 11036 and 11048.

LCM(11036,11048) = 2³ × 31¹ × 89¹ × 1381¹
LCM(11036,11048) = 30481432