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What is the Least Common Multiple of 11590 and 11603?

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 11590 and 11603 is 134478770.

LCM(11590,11603) = 134478770

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Least Common Multiple of 11590 and 11603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11590 and 11603, than apply into the LCM equation.

GCF(11590,11603) = 1
LCM(11590,11603) = ( 11590 × 11603) / 1
LCM(11590,11603) = 134478770 / 1
LCM(11590,11603) = 134478770

Least Common Multiple (LCM) of 11590 and 11603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11590 and 11603. First we will calculate the prime factors of 11590 and 11603.

Prime Factorization of 11590

Prime factors of 11590 are 2, 5, 19, 61. Prime factorization of 11590 in exponential form is:

11590 = 21 × 51 × 191 × 611

Prime Factorization of 11603

Prime factors of 11603 are 41, 283. Prime factorization of 11603 in exponential form is:

11603 = 411 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 11590 and 11603.

LCM(11590,11603) = 21 × 51 × 191 × 611 × 411 × 2831
LCM(11590,11603) = 134478770