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What is the Least Common Multiple of 15951 and 15960?

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 15951 and 15960 is 84859320.

LCM(15951,15960) = 84859320

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Least Common Multiple of 15951 and 15960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15951 and 15960, than apply into the LCM equation.

GCF(15951,15960) = 3
LCM(15951,15960) = ( 15951 × 15960) / 3
LCM(15951,15960) = 254577960 / 3
LCM(15951,15960) = 84859320

Least Common Multiple (LCM) of 15951 and 15960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15951 and 15960. First we will calculate the prime factors of 15951 and 15960.

Prime Factorization of 15951

Prime factors of 15951 are 3, 13, 409. Prime factorization of 15951 in exponential form is:

15951 = 31 × 131 × 4091

Prime Factorization of 15960

Prime factors of 15960 are 2, 3, 5, 7, 19. Prime factorization of 15960 in exponential form is:

15960 = 23 × 31 × 51 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 15951 and 15960.

LCM(15951,15960) = 31 × 131 × 4091 × 23 × 51 × 71 × 191
LCM(15951,15960) = 84859320