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What is the Least Common Multiple of 11661 and 11674?

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 11661 and 11674 is 10471578.

LCM(11661,11674) = 10471578

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Least Common Multiple of 11661 and 11674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11661 and 11674, than apply into the LCM equation.

GCF(11661,11674) = 13
LCM(11661,11674) = ( 11661 × 11674) / 13
LCM(11661,11674) = 136130514 / 13
LCM(11661,11674) = 10471578

Least Common Multiple (LCM) of 11661 and 11674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11661 and 11674. First we will calculate the prime factors of 11661 and 11674.

Prime Factorization of 11661

Prime factors of 11661 are 3, 13, 23. Prime factorization of 11661 in exponential form is:

11661 = 31 × 132 × 231

Prime Factorization of 11674

Prime factors of 11674 are 2, 13, 449. Prime factorization of 11674 in exponential form is:

11674 = 21 × 131 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 11661 and 11674.

LCM(11661,11674) = 31 × 132 × 231 × 21 × 4491
LCM(11661,11674) = 10471578