What is the Least Common Multiple of 88432 and 88439?
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 88432 and 88439 is 7820837648.
LCM(88432,88439) = 7820837648
Least Common Multiple of 88432 and 88439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88432 and 88439, than apply into the LCM equation.
GCF(88432,88439) = 1
LCM(88432,88439) = ( 88432 × 88439) / 1
LCM(88432,88439) = 7820837648 / 1
LCM(88432,88439) = 7820837648
Least Common Multiple (LCM) of 88432 and 88439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88432 and 88439. First we will calculate the prime factors of 88432 and 88439.
Prime Factorization of 88432
Prime factors of 88432 are 2, 5527. Prime factorization of 88432 in exponential form is:
88432 = 24 × 55271
Prime Factorization of 88439
Prime factors of 88439 are 13, 6803. Prime factorization of 88439 in exponential form is:
88439 = 131 × 68031
Now multiplying the highest exponent prime factors to calculate the LCM of 88432 and 88439.
LCM(88432,88439) = 24 × 55271 × 131 × 68031
LCM(88432,88439) = 7820837648
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