What is the Least Common Multiple of 11988 and 11995?
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 11988 and 11995 is 143796060.
LCM(11988,11995) = 143796060
Least Common Multiple of 11988 and 11995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11988 and 11995, than apply into the LCM equation.
GCF(11988,11995) = 1
LCM(11988,11995) = ( 11988 × 11995) / 1
LCM(11988,11995) = 143796060 / 1
LCM(11988,11995) = 143796060
Least Common Multiple (LCM) of 11988 and 11995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11988 and 11995. First we will calculate the prime factors of 11988 and 11995.
Prime Factorization of 11988
Prime factors of 11988 are 2, 3, 37. Prime factorization of 11988 in exponential form is:
11988 = 22 × 34 × 371
Prime Factorization of 11995
Prime factors of 11995 are 5, 2399. Prime factorization of 11995 in exponential form is:
11995 = 51 × 23991
Now multiplying the highest exponent prime factors to calculate the LCM of 11988 and 11995.
LCM(11988,11995) = 22 × 34 × 371 × 51 × 23991
LCM(11988,11995) = 143796060
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