What is the Least Common Multiple of 88555 and 88559?
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 88555 and 88559 is 7842342245.
LCM(88555,88559) = 7842342245
Least Common Multiple of 88555 and 88559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88555 and 88559, than apply into the LCM equation.
GCF(88555,88559) = 1
LCM(88555,88559) = ( 88555 × 88559) / 1
LCM(88555,88559) = 7842342245 / 1
LCM(88555,88559) = 7842342245
Least Common Multiple (LCM) of 88555 and 88559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88555 and 88559. First we will calculate the prime factors of 88555 and 88559.
Prime Factorization of 88555
Prime factors of 88555 are 5, 89, 199. Prime factorization of 88555 in exponential form is:
88555 = 51 × 891 × 1991
Prime Factorization of 88559
Prime factors of 88559 are 19, 59, 79. Prime factorization of 88559 in exponential form is:
88559 = 191 × 591 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 88555 and 88559.
LCM(88555,88559) = 51 × 891 × 1991 × 191 × 591 × 791
LCM(88555,88559) = 7842342245
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