What is the Least Common Multiple of 86147 and 86166?
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 86147 and 86166 is 7422942402.
LCM(86147,86166) = 7422942402
Least Common Multiple of 86147 and 86166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86147 and 86166, than apply into the LCM equation.
GCF(86147,86166) = 1
LCM(86147,86166) = ( 86147 × 86166) / 1
LCM(86147,86166) = 7422942402 / 1
LCM(86147,86166) = 7422942402
Least Common Multiple (LCM) of 86147 and 86166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86147 and 86166. First we will calculate the prime factors of 86147 and 86166.
Prime Factorization of 86147
Prime factors of 86147 are 277, 311. Prime factorization of 86147 in exponential form is:
86147 = 2771 × 3111
Prime Factorization of 86166
Prime factors of 86166 are 2, 3, 4787. Prime factorization of 86166 in exponential form is:
86166 = 21 × 32 × 47871
Now multiplying the highest exponent prime factors to calculate the LCM of 86147 and 86166.
LCM(86147,86166) = 2771 × 3111 × 21 × 32 × 47871
LCM(86147,86166) = 7422942402
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