What is the Least Common Multiple of 88034 and 88039?
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 88034 and 88039 is 7750425326.
LCM(88034,88039) = 7750425326
Least Common Multiple of 88034 and 88039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88034 and 88039, than apply into the LCM equation.
GCF(88034,88039) = 1
LCM(88034,88039) = ( 88034 × 88039) / 1
LCM(88034,88039) = 7750425326 / 1
LCM(88034,88039) = 7750425326
Least Common Multiple (LCM) of 88034 and 88039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88034 and 88039. First we will calculate the prime factors of 88034 and 88039.
Prime Factorization of 88034
Prime factors of 88034 are 2, 44017. Prime factorization of 88034 in exponential form is:
88034 = 21 × 440171
Prime Factorization of 88039
Prime factors of 88039 are 7, 12577. Prime factorization of 88039 in exponential form is:
88039 = 71 × 125771
Now multiplying the highest exponent prime factors to calculate the LCM of 88034 and 88039.
LCM(88034,88039) = 21 × 440171 × 71 × 125771
LCM(88034,88039) = 7750425326
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