What is the Least Common Multiple of 88571 and 88581?
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 88571 and 88581 is 7845707751.
LCM(88571,88581) = 7845707751
Least Common Multiple of 88571 and 88581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88571 and 88581, than apply into the LCM equation.
GCF(88571,88581) = 1
LCM(88571,88581) = ( 88571 × 88581) / 1
LCM(88571,88581) = 7845707751 / 1
LCM(88571,88581) = 7845707751
Least Common Multiple (LCM) of 88571 and 88581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88571 and 88581. First we will calculate the prime factors of 88571 and 88581.
Prime Factorization of 88571
Prime factors of 88571 are 7, 12653. Prime factorization of 88571 in exponential form is:
88571 = 71 × 126531
Prime Factorization of 88581
Prime factors of 88581 are 3, 29527. Prime factorization of 88581 in exponential form is:
88581 = 31 × 295271
Now multiplying the highest exponent prime factors to calculate the LCM of 88571 and 88581.
LCM(88571,88581) = 71 × 126531 × 31 × 295271
LCM(88571,88581) = 7845707751
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