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What is the Least Common Multiple of 11570 and 11582?

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 11570 and 11582 is 67001870.

LCM(11570,11582) = 67001870

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Least Common Multiple of 11570 and 11582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11570 and 11582, than apply into the LCM equation.

GCF(11570,11582) = 2
LCM(11570,11582) = ( 11570 × 11582) / 2
LCM(11570,11582) = 134003740 / 2
LCM(11570,11582) = 67001870

Least Common Multiple (LCM) of 11570 and 11582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11570 and 11582. First we will calculate the prime factors of 11570 and 11582.

Prime Factorization of 11570

Prime factors of 11570 are 2, 5, 13, 89. Prime factorization of 11570 in exponential form is:

11570 = 21 × 51 × 131 × 891

Prime Factorization of 11582

Prime factors of 11582 are 2, 5791. Prime factorization of 11582 in exponential form is:

11582 = 21 × 57911

Now multiplying the highest exponent prime factors to calculate the LCM of 11570 and 11582.

LCM(11570,11582) = 21 × 51 × 131 × 891 × 57911
LCM(11570,11582) = 67001870