What is the Least Common Multiple of 88537 and 88555?
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 88537 and 88555 is 7840394035.
LCM(88537,88555) = 7840394035
Least Common Multiple of 88537 and 88555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88537 and 88555, than apply into the LCM equation.
GCF(88537,88555) = 1
LCM(88537,88555) = ( 88537 × 88555) / 1
LCM(88537,88555) = 7840394035 / 1
LCM(88537,88555) = 7840394035
Least Common Multiple (LCM) of 88537 and 88555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88537 and 88555. First we will calculate the prime factors of 88537 and 88555.
Prime Factorization of 88537
Prime factors of 88537 are 29, 43, 71. Prime factorization of 88537 in exponential form is:
88537 = 291 × 431 × 711
Prime Factorization of 88555
Prime factors of 88555 are 5, 89, 199. Prime factorization of 88555 in exponential form is:
88555 = 51 × 891 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 88537 and 88555.
LCM(88537,88555) = 291 × 431 × 711 × 51 × 891 × 1991
LCM(88537,88555) = 7840394035
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