What is the Least Common Multiple of 6986 and 6999?
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 6986 and 6999 is 48895014.
LCM(6986,6999) = 48895014
Least Common Multiple of 6986 and 6999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6986 and 6999, than apply into the LCM equation.
GCF(6986,6999) = 1
LCM(6986,6999) = ( 6986 × 6999) / 1
LCM(6986,6999) = 48895014 / 1
LCM(6986,6999) = 48895014
Least Common Multiple (LCM) of 6986 and 6999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6986 and 6999. First we will calculate the prime factors of 6986 and 6999.
Prime Factorization of 6986
Prime factors of 6986 are 2, 7, 499. Prime factorization of 6986 in exponential form is:
6986 = 21 × 71 × 4991
Prime Factorization of 6999
Prime factors of 6999 are 3, 2333. Prime factorization of 6999 in exponential form is:
6999 = 31 × 23331
Now multiplying the highest exponent prime factors to calculate the LCM of 6986 and 6999.
LCM(6986,6999) = 21 × 71 × 4991 × 31 × 23331
LCM(6986,6999) = 48895014
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