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What is the Least Common Multiple of 3976 and 3983?

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 3976 and 3983 is 2262344.

LCM(3976,3983) = 2262344

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Least Common Multiple of 3976 and 3983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3976 and 3983, than apply into the LCM equation.

GCF(3976,3983) = 7
LCM(3976,3983) = ( 3976 × 3983) / 7
LCM(3976,3983) = 15836408 / 7
LCM(3976,3983) = 2262344

Least Common Multiple (LCM) of 3976 and 3983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3976 and 3983. First we will calculate the prime factors of 3976 and 3983.

Prime Factorization of 3976

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

3976 = 23 × 71 × 711

Prime Factorization of 3983

Prime factors of 3983 are 7, 569. Prime factorization of 3983 in exponential form is:

3983 = 71 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 3976 and 3983.

LCM(3976,3983) = 23 × 71 × 711 × 5691
LCM(3976,3983) = 2262344