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What is the Least Common Multiple of 11449 and 11463?

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 11449 and 11463 is 131239887.

LCM(11449,11463) = 131239887

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Least Common Multiple of 11449 and 11463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11449 and 11463, than apply into the LCM equation.

GCF(11449,11463) = 1
LCM(11449,11463) = ( 11449 × 11463) / 1
LCM(11449,11463) = 131239887 / 1
LCM(11449,11463) = 131239887

Least Common Multiple (LCM) of 11449 and 11463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11449 and 11463. First we will calculate the prime factors of 11449 and 11463.

Prime Factorization of 11449

Prime factors of 11449 are 107. Prime factorization of 11449 in exponential form is:

11449 = 1072

Prime Factorization of 11463

Prime factors of 11463 are 3, 3821. Prime factorization of 11463 in exponential form is:

11463 = 31 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 11449 and 11463.

LCM(11449,11463) = 1072 × 31 × 38211
LCM(11449,11463) = 131239887