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What is the Least Common Multiple of 11151 and 11166?

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 11151 and 11166 is 41504022.

LCM(11151,11166) = 41504022

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Least Common Multiple of 11151 and 11166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11151 and 11166, than apply into the LCM equation.

GCF(11151,11166) = 3
LCM(11151,11166) = ( 11151 × 11166) / 3
LCM(11151,11166) = 124512066 / 3
LCM(11151,11166) = 41504022

Least Common Multiple (LCM) of 11151 and 11166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11151 and 11166. First we will calculate the prime factors of 11151 and 11166.

Prime Factorization of 11151

Prime factors of 11151 are 3, 7, 59. Prime factorization of 11151 in exponential form is:

11151 = 33 × 71 × 591

Prime Factorization of 11166

Prime factors of 11166 are 2, 3, 1861. Prime factorization of 11166 in exponential form is:

11166 = 21 × 31 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 11151 and 11166.

LCM(11151,11166) = 33 × 71 × 591 × 21 × 18611
LCM(11151,11166) = 41504022