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What is the Least Common Multiple of 11377 and 11389?

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 11377 and 11389 is 129572653.

LCM(11377,11389) = 129572653

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Least Common Multiple of 11377 and 11389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11377 and 11389, than apply into the LCM equation.

GCF(11377,11389) = 1
LCM(11377,11389) = ( 11377 × 11389) / 1
LCM(11377,11389) = 129572653 / 1
LCM(11377,11389) = 129572653

Least Common Multiple (LCM) of 11377 and 11389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11377 and 11389. First we will calculate the prime factors of 11377 and 11389.

Prime Factorization of 11377

Prime factors of 11377 are 31, 367. Prime factorization of 11377 in exponential form is:

11377 = 311 × 3671

Prime Factorization of 11389

Prime factors of 11389 are 7, 1627. Prime factorization of 11389 in exponential form is:

11389 = 71 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 11377 and 11389.

LCM(11377,11389) = 311 × 3671 × 71 × 16271
LCM(11377,11389) = 129572653