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What is the Least Common Multiple of 3990 and 3998?

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 3990 and 3998 is 7976010.

LCM(3990,3998) = 7976010

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Least Common Multiple of 3990 and 3998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3990 and 3998, than apply into the LCM equation.

GCF(3990,3998) = 2
LCM(3990,3998) = ( 3990 × 3998) / 2
LCM(3990,3998) = 15952020 / 2
LCM(3990,3998) = 7976010

Least Common Multiple (LCM) of 3990 and 3998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3990 and 3998. First we will calculate the prime factors of 3990 and 3998.

Prime Factorization of 3990

Prime factors of 3990 are 2, 3, 5, 7, 19. Prime factorization of 3990 in exponential form is:

3990 = 21 × 31 × 51 × 71 × 191

Prime Factorization of 3998

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

3998 = 21 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 3990 and 3998.

LCM(3990,3998) = 21 × 31 × 51 × 71 × 191 × 19991
LCM(3990,3998) = 7976010