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What is the Least Common Multiple of 5956 and 5975?

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 5956 and 5975 is 35587100.

LCM(5956,5975) = 35587100

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Least Common Multiple of 5956 and 5975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5956 and 5975, than apply into the LCM equation.

GCF(5956,5975) = 1
LCM(5956,5975) = ( 5956 × 5975) / 1
LCM(5956,5975) = 35587100 / 1
LCM(5956,5975) = 35587100

Least Common Multiple (LCM) of 5956 and 5975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5956 and 5975. First we will calculate the prime factors of 5956 and 5975.

Prime Factorization of 5956

Prime factors of 5956 are 2, 1489. Prime factorization of 5956 in exponential form is:

5956 = 22 × 14891

Prime Factorization of 5975

Prime factors of 5975 are 5, 239. Prime factorization of 5975 in exponential form is:

5975 = 52 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 5956 and 5975.

LCM(5956,5975) = 22 × 14891 × 52 × 2391
LCM(5956,5975) = 35587100