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What is the Least Common Multiple of 3978 and 3982?

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 3978 and 3982 is 7920198.

LCM(3978,3982) = 7920198

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Least Common Multiple of 3978 and 3982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3978 and 3982, than apply into the LCM equation.

GCF(3978,3982) = 2
LCM(3978,3982) = ( 3978 × 3982) / 2
LCM(3978,3982) = 15840396 / 2
LCM(3978,3982) = 7920198

Least Common Multiple (LCM) of 3978 and 3982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3978 and 3982. First we will calculate the prime factors of 3978 and 3982.

Prime Factorization of 3978

Prime factors of 3978 are 2, 3, 13, 17. Prime factorization of 3978 in exponential form is:

3978 = 21 × 32 × 131 × 171

Prime Factorization of 3982

Prime factors of 3982 are 2, 11, 181. Prime factorization of 3982 in exponential form is:

3982 = 21 × 111 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3978 and 3982.

LCM(3978,3982) = 21 × 32 × 131 × 171 × 111 × 1811
LCM(3978,3982) = 7920198