What is the Least Common Multiple of 54989 and 55001?
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 54989 and 55001 is 3024449989.
LCM(54989,55001) = 3024449989
Least Common Multiple of 54989 and 55001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54989 and 55001, than apply into the LCM equation.
GCF(54989,55001) = 1
LCM(54989,55001) = ( 54989 × 55001) / 1
LCM(54989,55001) = 3024449989 / 1
LCM(54989,55001) = 3024449989
Least Common Multiple (LCM) of 54989 and 55001 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54989 and 55001. First we will calculate the prime factors of 54989 and 55001.
Prime Factorization of 54989
Prime factors of 54989 are 11, 4999. Prime factorization of 54989 in exponential form is:
54989 = 111 × 49991
Prime Factorization of 55001
Prime factors of 55001 are 55001. Prime factorization of 55001 in exponential form is:
55001 = 550011
Now multiplying the highest exponent prime factors to calculate the LCM of 54989 and 55001.
LCM(54989,55001) = 111 × 49991 × 550011
LCM(54989,55001) = 3024449989
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