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What is the Least Common Multiple of 11053 and 11072?

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 11053 and 11072 is 122378816.

LCM(11053,11072) = 122378816

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Least Common Multiple of 11053 and 11072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11053 and 11072, than apply into the LCM equation.

GCF(11053,11072) = 1
LCM(11053,11072) = ( 11053 × 11072) / 1
LCM(11053,11072) = 122378816 / 1
LCM(11053,11072) = 122378816

Least Common Multiple (LCM) of 11053 and 11072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11053 and 11072. First we will calculate the prime factors of 11053 and 11072.

Prime Factorization of 11053

Prime factors of 11053 are 7, 1579. Prime factorization of 11053 in exponential form is:

11053 = 71 × 15791

Prime Factorization of 11072

Prime factors of 11072 are 2, 173. Prime factorization of 11072 in exponential form is:

11072 = 26 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 11053 and 11072.

LCM(11053,11072) = 71 × 15791 × 26 × 1731
LCM(11053,11072) = 122378816