What is the Least Common Multiple of 86047 and 86055?
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 86047 and 86055 is 7404774585.
LCM(86047,86055) = 7404774585
Least Common Multiple of 86047 and 86055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86047 and 86055, than apply into the LCM equation.
GCF(86047,86055) = 1
LCM(86047,86055) = ( 86047 × 86055) / 1
LCM(86047,86055) = 7404774585 / 1
LCM(86047,86055) = 7404774585
Least Common Multiple (LCM) of 86047 and 86055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86047 and 86055. First we will calculate the prime factors of 86047 and 86055.
Prime Factorization of 86047
Prime factors of 86047 are 13, 6619. Prime factorization of 86047 in exponential form is:
86047 = 131 × 66191
Prime Factorization of 86055
Prime factors of 86055 are 3, 5, 5737. Prime factorization of 86055 in exponential form is:
86055 = 31 × 51 × 57371
Now multiplying the highest exponent prime factors to calculate the LCM of 86047 and 86055.
LCM(86047,86055) = 131 × 66191 × 31 × 51 × 57371
LCM(86047,86055) = 7404774585
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