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What is the Least Common Multiple of 11377 and 11382?

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 11382 is 129493014.

LCM(11377,11382) = 129493014

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Least Common Multiple of 11377 and 11382 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 11382, than apply into the LCM equation.

GCF(11377,11382) = 1
LCM(11377,11382) = ( 11377 × 11382) / 1
LCM(11377,11382) = 129493014 / 1
LCM(11377,11382) = 129493014

Least Common Multiple (LCM) of 11377 and 11382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11377 and 11382. First we will calculate the prime factors of 11377 and 11382.

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 11382

Prime factors of 11382 are 2, 3, 7, 271. Prime factorization of 11382 in exponential form is:

11382 = 21 × 31 × 71 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 11377 and 11382.

LCM(11377,11382) = 311 × 3671 × 21 × 31 × 71 × 2711
LCM(11377,11382) = 129493014