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What is the Least Common Multiple of 3978 and 3995?

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 3995 is 934830.

LCM(3978,3995) = 934830

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Least Common Multiple of 3978 and 3995 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 3995, than apply into the LCM equation.

GCF(3978,3995) = 17
LCM(3978,3995) = ( 3978 × 3995) / 17
LCM(3978,3995) = 15892110 / 17
LCM(3978,3995) = 934830

Least Common Multiple (LCM) of 3978 and 3995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3978 and 3995. First we will calculate the prime factors of 3978 and 3995.

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 3995

Prime factors of 3995 are 5, 17, 47. Prime factorization of 3995 in exponential form is:

3995 = 51 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3978 and 3995.

LCM(3978,3995) = 21 × 32 × 131 × 171 × 51 × 471
LCM(3978,3995) = 934830