What is the Least Common Multiple of 55987 and 55997?
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 55987 and 55997 is 3135104039.
LCM(55987,55997) = 3135104039
Least Common Multiple of 55987 and 55997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55987 and 55997, than apply into the LCM equation.
GCF(55987,55997) = 1
LCM(55987,55997) = ( 55987 × 55997) / 1
LCM(55987,55997) = 3135104039 / 1
LCM(55987,55997) = 3135104039
Least Common Multiple (LCM) of 55987 and 55997 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55987 and 55997. First we will calculate the prime factors of 55987 and 55997.
Prime Factorization of 55987
Prime factors of 55987 are 55987. Prime factorization of 55987 in exponential form is:
55987 = 559871
Prime Factorization of 55997
Prime factors of 55997 are 55997. Prime factorization of 55997 in exponential form is:
55997 = 559971
Now multiplying the highest exponent prime factors to calculate the LCM of 55987 and 55997.
LCM(55987,55997) = 559871 × 559971
LCM(55987,55997) = 3135104039
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