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What is the Least Common Multiple of 15963 and 15976?

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 15963 and 15976 is 255024888.

LCM(15963,15976) = 255024888

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Least Common Multiple of 15963 and 15976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15963 and 15976, than apply into the LCM equation.

GCF(15963,15976) = 1
LCM(15963,15976) = ( 15963 × 15976) / 1
LCM(15963,15976) = 255024888 / 1
LCM(15963,15976) = 255024888

Least Common Multiple (LCM) of 15963 and 15976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15963 and 15976. First we will calculate the prime factors of 15963 and 15976.

Prime Factorization of 15963

Prime factors of 15963 are 3, 17, 313. Prime factorization of 15963 in exponential form is:

15963 = 31 × 171 × 3131

Prime Factorization of 15976

Prime factors of 15976 are 2, 1997. Prime factorization of 15976 in exponential form is:

15976 = 23 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 15963 and 15976.

LCM(15963,15976) = 31 × 171 × 3131 × 23 × 19971
LCM(15963,15976) = 255024888