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What is the Least Common Multiple of 3958 and 3976?

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 3976 is 7868504.

LCM(3958,3976) = 7868504

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Least Common Multiple of 3958 and 3976 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 3976, than apply into the LCM equation.

GCF(3958,3976) = 2
LCM(3958,3976) = ( 3958 × 3976) / 2
LCM(3958,3976) = 15737008 / 2
LCM(3958,3976) = 7868504

Least Common Multiple (LCM) of 3958 and 3976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3958 and 3976. First we will calculate the prime factors of 3958 and 3976.

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 3976

Prime factors of 3976 are 2, 7, 71. Prime factorization of 3976 in exponential form is:

3976 = 23 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3958 and 3976.

LCM(3958,3976) = 23 × 19791 × 71 × 711
LCM(3958,3976) = 7868504