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What is the Least Common Multiple of 11072 and 11087?

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 11072 and 11087 is 122755264.

LCM(11072,11087) = 122755264

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Least Common Multiple of 11072 and 11087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11072 and 11087, than apply into the LCM equation.

GCF(11072,11087) = 1
LCM(11072,11087) = ( 11072 × 11087) / 1
LCM(11072,11087) = 122755264 / 1
LCM(11072,11087) = 122755264

Least Common Multiple (LCM) of 11072 and 11087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11072 and 11087. First we will calculate the prime factors of 11072 and 11087.

Prime Factorization of 11072

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

11072 = 26 × 1731

Prime Factorization of 11087

Prime factors of 11087 are 11087. Prime factorization of 11087 in exponential form is:

11087 = 110871

Now multiplying the highest exponent prime factors to calculate the LCM of 11072 and 11087.

LCM(11072,11087) = 26 × 1731 × 110871
LCM(11072,11087) = 122755264