What is the Least Common Multiple of 88665 and 88669?
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 88665 and 88669 is 7861836885.
LCM(88665,88669) = 7861836885
Least Common Multiple of 88665 and 88669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88665 and 88669, than apply into the LCM equation.
GCF(88665,88669) = 1
LCM(88665,88669) = ( 88665 × 88669) / 1
LCM(88665,88669) = 7861836885 / 1
LCM(88665,88669) = 7861836885
Least Common Multiple (LCM) of 88665 and 88669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88665 and 88669. First we will calculate the prime factors of 88665 and 88669.
Prime Factorization of 88665
Prime factors of 88665 are 3, 5, 23, 257. Prime factorization of 88665 in exponential form is:
88665 = 31 × 51 × 231 × 2571
Prime Factorization of 88669
Prime factors of 88669 are 7, 53, 239. Prime factorization of 88669 in exponential form is:
88669 = 71 × 531 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 88665 and 88669.
LCM(88665,88669) = 31 × 51 × 231 × 2571 × 71 × 531 × 2391
LCM(88665,88669) = 7861836885
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