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What is the Least Common Multiple of 15912 and 15921?

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 15912 and 15921 is 28148328.

LCM(15912,15921) = 28148328

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Least Common Multiple of 15912 and 15921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15912 and 15921, than apply into the LCM equation.

GCF(15912,15921) = 9
LCM(15912,15921) = ( 15912 × 15921) / 9
LCM(15912,15921) = 253334952 / 9
LCM(15912,15921) = 28148328

Least Common Multiple (LCM) of 15912 and 15921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15912 and 15921. First we will calculate the prime factors of 15912 and 15921.

Prime Factorization of 15912

Prime factors of 15912 are 2, 3, 13, 17. Prime factorization of 15912 in exponential form is:

15912 = 23 × 32 × 131 × 171

Prime Factorization of 15921

Prime factors of 15921 are 3, 29, 61. Prime factorization of 15921 in exponential form is:

15921 = 32 × 291 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 15912 and 15921.

LCM(15912,15921) = 23 × 32 × 131 × 171 × 291 × 611
LCM(15912,15921) = 28148328