What is the Least Common Multiple of 88915 and 88927?
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 88915 and 88927 is 7906944205.
LCM(88915,88927) = 7906944205
Least Common Multiple of 88915 and 88927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88915 and 88927, than apply into the LCM equation.
GCF(88915,88927) = 1
LCM(88915,88927) = ( 88915 × 88927) / 1
LCM(88915,88927) = 7906944205 / 1
LCM(88915,88927) = 7906944205
Least Common Multiple (LCM) of 88915 and 88927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88915 and 88927. First we will calculate the prime factors of 88915 and 88927.
Prime Factorization of 88915
Prime factors of 88915 are 5, 17783. Prime factorization of 88915 in exponential form is:
88915 = 51 × 177831
Prime Factorization of 88927
Prime factors of 88927 are 17, 5231. Prime factorization of 88927 in exponential form is:
88927 = 171 × 52311
Now multiplying the highest exponent prime factors to calculate the LCM of 88915 and 88927.
LCM(88915,88927) = 51 × 177831 × 171 × 52311
LCM(88915,88927) = 7906944205
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