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What is the Least Common Multiple of 11480 and 11493?

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 11480 and 11493 is 131939640.

LCM(11480,11493) = 131939640

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Least Common Multiple of 11480 and 11493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11480 and 11493, than apply into the LCM equation.

GCF(11480,11493) = 1
LCM(11480,11493) = ( 11480 × 11493) / 1
LCM(11480,11493) = 131939640 / 1
LCM(11480,11493) = 131939640

Least Common Multiple (LCM) of 11480 and 11493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11480 and 11493. First we will calculate the prime factors of 11480 and 11493.

Prime Factorization of 11480

Prime factors of 11480 are 2, 5, 7, 41. Prime factorization of 11480 in exponential form is:

11480 = 23 × 51 × 71 × 411

Prime Factorization of 11493

Prime factors of 11493 are 3, 1277. Prime factorization of 11493 in exponential form is:

11493 = 32 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 11480 and 11493.

LCM(11480,11493) = 23 × 51 × 71 × 411 × 32 × 12771
LCM(11480,11493) = 131939640