What is the Least Common Multiple of 86018 and 86030?
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 86018 and 86030 is 3700064270.
LCM(86018,86030) = 3700064270
Least Common Multiple of 86018 and 86030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86018 and 86030, than apply into the LCM equation.
GCF(86018,86030) = 2
LCM(86018,86030) = ( 86018 × 86030) / 2
LCM(86018,86030) = 7400128540 / 2
LCM(86018,86030) = 3700064270
Least Common Multiple (LCM) of 86018 and 86030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86018 and 86030. First we will calculate the prime factors of 86018 and 86030.
Prime Factorization of 86018
Prime factors of 86018 are 2, 41, 1049. Prime factorization of 86018 in exponential form is:
86018 = 21 × 411 × 10491
Prime Factorization of 86030
Prime factors of 86030 are 2, 5, 7, 1229. Prime factorization of 86030 in exponential form is:
86030 = 21 × 51 × 71 × 12291
Now multiplying the highest exponent prime factors to calculate the LCM of 86018 and 86030.
LCM(86018,86030) = 21 × 411 × 10491 × 51 × 71 × 12291
LCM(86018,86030) = 3700064270
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