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What is the Least Common Multiple of 15855 and 15872?

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 15855 and 15872 is 251650560.

LCM(15855,15872) = 251650560

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Least Common Multiple of 15855 and 15872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15855 and 15872, than apply into the LCM equation.

GCF(15855,15872) = 1
LCM(15855,15872) = ( 15855 × 15872) / 1
LCM(15855,15872) = 251650560 / 1
LCM(15855,15872) = 251650560

Least Common Multiple (LCM) of 15855 and 15872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15855 and 15872. First we will calculate the prime factors of 15855 and 15872.

Prime Factorization of 15855

Prime factors of 15855 are 3, 5, 7, 151. Prime factorization of 15855 in exponential form is:

15855 = 31 × 51 × 71 × 1511

Prime Factorization of 15872

Prime factors of 15872 are 2, 31. Prime factorization of 15872 in exponential form is:

15872 = 29 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 15855 and 15872.

LCM(15855,15872) = 31 × 51 × 71 × 1511 × 29 × 311
LCM(15855,15872) = 251650560