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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 (LCM) of 11036 and 11048 is 30481432.

LCM(11036,11048) = 30481432

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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 factors of 11036 are 2, 31, 89. Prime factorization of 11036 in exponential form is:

11036 = 22 × 311 × 891

Prime Factorization of 11048

Prime factors of 11048 are 2, 1381. Prime factorization of 11048 in exponential form is:

11048 = 23 × 13811

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