What is the Least Common Multiple of 11987 and 12001?
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 11987 and 12001 is 143855987.
LCM(11987,12001) = 143855987
Least Common Multiple of 11987 and 12001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11987 and 12001, than apply into the LCM equation.
GCF(11987,12001) = 1
LCM(11987,12001) = ( 11987 × 12001) / 1
LCM(11987,12001) = 143855987 / 1
LCM(11987,12001) = 143855987
Least Common Multiple (LCM) of 11987 and 12001 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11987 and 12001. First we will calculate the prime factors of 11987 and 12001.
Prime Factorization of 11987
Prime factors of 11987 are 11987. Prime factorization of 11987 in exponential form is:
11987 = 119871
Prime Factorization of 12001
Prime factors of 12001 are 11, 1091. Prime factorization of 12001 in exponential form is:
12001 = 111 × 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 11987 and 12001.
LCM(11987,12001) = 119871 × 111 × 10911
LCM(11987,12001) = 143855987
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