What is the Least Common Multiple of 86918 and 86927?
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 86918 and 86927 is 7555520986.
LCM(86918,86927) = 7555520986
Least Common Multiple of 86918 and 86927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86918 and 86927, than apply into the LCM equation.
GCF(86918,86927) = 1
LCM(86918,86927) = ( 86918 × 86927) / 1
LCM(86918,86927) = 7555520986 / 1
LCM(86918,86927) = 7555520986
Least Common Multiple (LCM) of 86918 and 86927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86918 and 86927. First we will calculate the prime factors of 86918 and 86927.
Prime Factorization of 86918
Prime factors of 86918 are 2, 13, 3343. Prime factorization of 86918 in exponential form is:
86918 = 21 × 131 × 33431
Prime Factorization of 86927
Prime factors of 86927 are 86927. Prime factorization of 86927 in exponential form is:
86927 = 869271
Now multiplying the highest exponent prime factors to calculate the LCM of 86918 and 86927.
LCM(86918,86927) = 21 × 131 × 33431 × 869271
LCM(86918,86927) = 7555520986
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