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What is the Least Common Multiple of 5968 and 5974?

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 5968 and 5974 is 17826416.

LCM(5968,5974) = 17826416

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Least Common Multiple of 5968 and 5974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5968 and 5974, than apply into the LCM equation.

GCF(5968,5974) = 2
LCM(5968,5974) = ( 5968 × 5974) / 2
LCM(5968,5974) = 35652832 / 2
LCM(5968,5974) = 17826416

Least Common Multiple (LCM) of 5968 and 5974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5968 and 5974. First we will calculate the prime factors of 5968 and 5974.

Prime Factorization of 5968

Prime factors of 5968 are 2, 373. Prime factorization of 5968 in exponential form is:

5968 = 24 × 3731

Prime Factorization of 5974

Prime factors of 5974 are 2, 29, 103. Prime factorization of 5974 in exponential form is:

5974 = 21 × 291 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5968 and 5974.

LCM(5968,5974) = 24 × 3731 × 291 × 1031
LCM(5968,5974) = 17826416