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What is the Least Common Multiple of 3958 and 3975?

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 3958 and 3975 is 15733050.

LCM(3958,3975) = 15733050

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Least Common Multiple of 3958 and 3975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3958 and 3975, than apply into the LCM equation.

GCF(3958,3975) = 1
LCM(3958,3975) = ( 3958 × 3975) / 1
LCM(3958,3975) = 15733050 / 1
LCM(3958,3975) = 15733050

Least Common Multiple (LCM) of 3958 and 3975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3958 and 3975. First we will calculate the prime factors of 3958 and 3975.

Prime Factorization of 3958

Prime factors of 3958 are 2, 1979. Prime factorization of 3958 in exponential form is:

3958 = 21 × 19791

Prime Factorization of 3975

Prime factors of 3975 are 3, 5, 53. Prime factorization of 3975 in exponential form is:

3975 = 31 × 52 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3958 and 3975.

LCM(3958,3975) = 21 × 19791 × 31 × 52 × 531
LCM(3958,3975) = 15733050