What is the Least Common Multiple of 13987 and 13995?
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 13987 and 13995 is 195748065.
LCM(13987,13995) = 195748065
Least Common Multiple of 13987 and 13995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13987 and 13995, than apply into the LCM equation.
GCF(13987,13995) = 1
LCM(13987,13995) = ( 13987 × 13995) / 1
LCM(13987,13995) = 195748065 / 1
LCM(13987,13995) = 195748065
Least Common Multiple (LCM) of 13987 and 13995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13987 and 13995. First we will calculate the prime factors of 13987 and 13995.
Prime Factorization of 13987
Prime factors of 13987 are 71, 197. Prime factorization of 13987 in exponential form is:
13987 = 711 × 1971
Prime Factorization of 13995
Prime factors of 13995 are 3, 5, 311. Prime factorization of 13995 in exponential form is:
13995 = 32 × 51 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 13987 and 13995.
LCM(13987,13995) = 711 × 1971 × 32 × 51 × 3111
LCM(13987,13995) = 195748065
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