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What is the Least Common Multiple of 11370 and 11382?

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 11370 and 11382 is 21568890.

LCM(11370,11382) = 21568890

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Least Common Multiple of 11370 and 11382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11370 and 11382, than apply into the LCM equation.

GCF(11370,11382) = 6
LCM(11370,11382) = ( 11370 × 11382) / 6
LCM(11370,11382) = 129413340 / 6
LCM(11370,11382) = 21568890

Least Common Multiple (LCM) of 11370 and 11382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11370 and 11382. First we will calculate the prime factors of 11370 and 11382.

Prime Factorization of 11370

Prime factors of 11370 are 2, 3, 5, 379. Prime factorization of 11370 in exponential form is:

11370 = 21 × 31 × 51 × 3791

Prime Factorization of 11382

Prime factors of 11382 are 2, 3, 7, 271. Prime factorization of 11382 in exponential form is:

11382 = 21 × 31 × 71 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 11370 and 11382.

LCM(11370,11382) = 21 × 31 × 51 × 3791 × 71 × 2711
LCM(11370,11382) = 21568890