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What is the Least Common Multiple of 16966 and 16975?

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 16966 and 16975 is 287997850.

LCM(16966,16975) = 287997850

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Least Common Multiple of 16966 and 16975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16966 and 16975, than apply into the LCM equation.

GCF(16966,16975) = 1
LCM(16966,16975) = ( 16966 × 16975) / 1
LCM(16966,16975) = 287997850 / 1
LCM(16966,16975) = 287997850

Least Common Multiple (LCM) of 16966 and 16975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16966 and 16975. First we will calculate the prime factors of 16966 and 16975.

Prime Factorization of 16966

Prime factors of 16966 are 2, 17, 499. Prime factorization of 16966 in exponential form is:

16966 = 21 × 171 × 4991

Prime Factorization of 16975

Prime factors of 16975 are 5, 7, 97. Prime factorization of 16975 in exponential form is:

16975 = 52 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 16966 and 16975.

LCM(16966,16975) = 21 × 171 × 4991 × 52 × 71 × 971
LCM(16966,16975) = 287997850