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What is the Least Common Multiple of 16925 and 16935?

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 16925 and 16935 is 57324975.

LCM(16925,16935) = 57324975

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Least Common Multiple of 16925 and 16935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16925 and 16935, than apply into the LCM equation.

GCF(16925,16935) = 5
LCM(16925,16935) = ( 16925 × 16935) / 5
LCM(16925,16935) = 286624875 / 5
LCM(16925,16935) = 57324975

Least Common Multiple (LCM) of 16925 and 16935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16925 and 16935. First we will calculate the prime factors of 16925 and 16935.

Prime Factorization of 16925

Prime factors of 16925 are 5, 677. Prime factorization of 16925 in exponential form is:

16925 = 52 × 6771

Prime Factorization of 16935

Prime factors of 16935 are 3, 5, 1129. Prime factorization of 16935 in exponential form is:

16935 = 31 × 51 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 16925 and 16935.

LCM(16925,16935) = 52 × 6771 × 31 × 11291
LCM(16925,16935) = 57324975