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What is the Least Common Multiple of 3998 and 4016?

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 3998 and 4016 is 8027984.

LCM(3998,4016) = 8027984

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Least Common Multiple of 3998 and 4016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3998 and 4016, than apply into the LCM equation.

GCF(3998,4016) = 2
LCM(3998,4016) = ( 3998 × 4016) / 2
LCM(3998,4016) = 16055968 / 2
LCM(3998,4016) = 8027984

Least Common Multiple (LCM) of 3998 and 4016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3998 and 4016. First we will calculate the prime factors of 3998 and 4016.

Prime Factorization of 3998

Prime factors of 3998 are 2, 1999. Prime factorization of 3998 in exponential form is:

3998 = 21 × 19991

Prime Factorization of 4016

Prime factors of 4016 are 2, 251. Prime factorization of 4016 in exponential form is:

4016 = 24 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 3998 and 4016.

LCM(3998,4016) = 24 × 19991 × 2511
LCM(3998,4016) = 8027984