What is the Least Common Multiple of 86066 and 86071?
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 86066 and 86071 is 7407786686.
LCM(86066,86071) = 7407786686
Least Common Multiple of 86066 and 86071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86066 and 86071, than apply into the LCM equation.
GCF(86066,86071) = 1
LCM(86066,86071) = ( 86066 × 86071) / 1
LCM(86066,86071) = 7407786686 / 1
LCM(86066,86071) = 7407786686
Least Common Multiple (LCM) of 86066 and 86071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86066 and 86071. First we will calculate the prime factors of 86066 and 86071.
Prime Factorization of 86066
Prime factors of 86066 are 2, 23, 1871. Prime factorization of 86066 in exponential form is:
86066 = 21 × 231 × 18711
Prime Factorization of 86071
Prime factors of 86071 are 17, 61, 83. Prime factorization of 86071 in exponential form is:
86071 = 171 × 611 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 86066 and 86071.
LCM(86066,86071) = 21 × 231 × 18711 × 171 × 611 × 831
LCM(86066,86071) = 7407786686
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