What is the Least Common Multiple of 88855 and 88865?
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 88855 and 88865 is 1579219915.
LCM(88855,88865) = 1579219915
Least Common Multiple of 88855 and 88865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88855 and 88865, than apply into the LCM equation.
GCF(88855,88865) = 5
LCM(88855,88865) = ( 88855 × 88865) / 5
LCM(88855,88865) = 7896099575 / 5
LCM(88855,88865) = 1579219915
Least Common Multiple (LCM) of 88855 and 88865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88855 and 88865. First we will calculate the prime factors of 88855 and 88865.
Prime Factorization of 88855
Prime factors of 88855 are 5, 13, 1367. Prime factorization of 88855 in exponential form is:
88855 = 51 × 131 × 13671
Prime Factorization of 88865
Prime factors of 88865 are 5, 7, 2539. Prime factorization of 88865 in exponential form is:
88865 = 51 × 71 × 25391
Now multiplying the highest exponent prime factors to calculate the LCM of 88855 and 88865.
LCM(88855,88865) = 51 × 131 × 13671 × 71 × 25391
LCM(88855,88865) = 1579219915
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