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What is the Least Common Multiple of 7990 and 7997?

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 7990 and 7997 is 63896030.

LCM(7990,7997) = 63896030

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Least Common Multiple of 7990 and 7997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7990 and 7997, than apply into the LCM equation.

GCF(7990,7997) = 1
LCM(7990,7997) = ( 7990 × 7997) / 1
LCM(7990,7997) = 63896030 / 1
LCM(7990,7997) = 63896030

Least Common Multiple (LCM) of 7990 and 7997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7990 and 7997. First we will calculate the prime factors of 7990 and 7997.

Prime Factorization of 7990

Prime factors of 7990 are 2, 5, 17, 47. Prime factorization of 7990 in exponential form is:

7990 = 21 × 51 × 171 × 471

Prime Factorization of 7997

Prime factors of 7997 are 11, 727. Prime factorization of 7997 in exponential form is:

7997 = 111 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 7990 and 7997.

LCM(7990,7997) = 21 × 51 × 171 × 471 × 111 × 7271
LCM(7990,7997) = 63896030