What is the Least Common Multiple of 88997 and 89015?
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 88997 and 89015 is 7922067955.
LCM(88997,89015) = 7922067955
Least Common Multiple of 88997 and 89015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88997 and 89015, than apply into the LCM equation.
GCF(88997,89015) = 1
LCM(88997,89015) = ( 88997 × 89015) / 1
LCM(88997,89015) = 7922067955 / 1
LCM(88997,89015) = 7922067955
Least Common Multiple (LCM) of 88997 and 89015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88997 and 89015. First we will calculate the prime factors of 88997 and 89015.
Prime Factorization of 88997
Prime factors of 88997 are 88997. Prime factorization of 88997 in exponential form is:
88997 = 889971
Prime Factorization of 89015
Prime factors of 89015 are 5, 19, 937. Prime factorization of 89015 in exponential form is:
89015 = 51 × 191 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 88997 and 89015.
LCM(88997,89015) = 889971 × 51 × 191 × 9371
LCM(88997,89015) = 7922067955
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