What is the Least Common Multiple of 86087 and 86097?
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 86087 and 86097 is 7411832439.
LCM(86087,86097) = 7411832439
Least Common Multiple of 86087 and 86097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86087 and 86097, than apply into the LCM equation.
GCF(86087,86097) = 1
LCM(86087,86097) = ( 86087 × 86097) / 1
LCM(86087,86097) = 7411832439 / 1
LCM(86087,86097) = 7411832439
Least Common Multiple (LCM) of 86087 and 86097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86087 and 86097. First we will calculate the prime factors of 86087 and 86097.
Prime Factorization of 86087
Prime factors of 86087 are 31, 2777. Prime factorization of 86087 in exponential form is:
86087 = 311 × 27771
Prime Factorization of 86097
Prime factors of 86097 are 3, 11, 2609. Prime factorization of 86097 in exponential form is:
86097 = 31 × 111 × 26091
Now multiplying the highest exponent prime factors to calculate the LCM of 86087 and 86097.
LCM(86087,86097) = 311 × 27771 × 31 × 111 × 26091
LCM(86087,86097) = 7411832439
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