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What is the Least Common Multiple of 6992 and 6997?

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 6992 and 6997 is 48923024.

LCM(6992,6997) = 48923024

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Least Common Multiple of 6992 and 6997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6992 and 6997, than apply into the LCM equation.

GCF(6992,6997) = 1
LCM(6992,6997) = ( 6992 × 6997) / 1
LCM(6992,6997) = 48923024 / 1
LCM(6992,6997) = 48923024

Least Common Multiple (LCM) of 6992 and 6997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6992 and 6997. First we will calculate the prime factors of 6992 and 6997.

Prime Factorization of 6992

Prime factors of 6992 are 2, 19, 23. Prime factorization of 6992 in exponential form is:

6992 = 24 × 191 × 231

Prime Factorization of 6997

Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:

6997 = 69971

Now multiplying the highest exponent prime factors to calculate the LCM of 6992 and 6997.

LCM(6992,6997) = 24 × 191 × 231 × 69971
LCM(6992,6997) = 48923024