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What is the Least Common Multiple of 15660 and 15669?

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 15660 and 15669 is 27264060.

LCM(15660,15669) = 27264060

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Least Common Multiple of 15660 and 15669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15660 and 15669, than apply into the LCM equation.

GCF(15660,15669) = 9
LCM(15660,15669) = ( 15660 × 15669) / 9
LCM(15660,15669) = 245376540 / 9
LCM(15660,15669) = 27264060

Least Common Multiple (LCM) of 15660 and 15669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15660 and 15669. First we will calculate the prime factors of 15660 and 15669.

Prime Factorization of 15660

Prime factors of 15660 are 2, 3, 5, 29. Prime factorization of 15660 in exponential form is:

15660 = 22 × 33 × 51 × 291

Prime Factorization of 15669

Prime factors of 15669 are 3, 1741. Prime factorization of 15669 in exponential form is:

15669 = 32 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 15660 and 15669.

LCM(15660,15669) = 22 × 33 × 51 × 291 × 17411
LCM(15660,15669) = 27264060