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What is the Least Common Multiple of 11330 and 11349?

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 11330 and 11349 is 128584170.

LCM(11330,11349) = 128584170

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Least Common Multiple of 11330 and 11349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11330 and 11349, than apply into the LCM equation.

GCF(11330,11349) = 1
LCM(11330,11349) = ( 11330 × 11349) / 1
LCM(11330,11349) = 128584170 / 1
LCM(11330,11349) = 128584170

Least Common Multiple (LCM) of 11330 and 11349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11330 and 11349. First we will calculate the prime factors of 11330 and 11349.

Prime Factorization of 11330

Prime factors of 11330 are 2, 5, 11, 103. Prime factorization of 11330 in exponential form is:

11330 = 21 × 51 × 111 × 1031

Prime Factorization of 11349

Prime factors of 11349 are 3, 13, 97. Prime factorization of 11349 in exponential form is:

11349 = 32 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 11330 and 11349.

LCM(11330,11349) = 21 × 51 × 111 × 1031 × 32 × 131 × 971
LCM(11330,11349) = 128584170