What is the Least Common Multiple of 86118 and 86122?
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 86118 and 86122 is 3708327198.
LCM(86118,86122) = 3708327198
Least Common Multiple of 86118 and 86122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86118 and 86122, than apply into the LCM equation.
GCF(86118,86122) = 2
LCM(86118,86122) = ( 86118 × 86122) / 2
LCM(86118,86122) = 7416654396 / 2
LCM(86118,86122) = 3708327198
Least Common Multiple (LCM) of 86118 and 86122 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86118 and 86122. First we will calculate the prime factors of 86118 and 86122.
Prime Factorization of 86118
Prime factors of 86118 are 2, 3, 31, 463. Prime factorization of 86118 in exponential form is:
86118 = 21 × 31 × 311 × 4631
Prime Factorization of 86122
Prime factors of 86122 are 2, 17, 149. Prime factorization of 86122 in exponential form is:
86122 = 21 × 172 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 86118 and 86122.
LCM(86118,86122) = 21 × 31 × 311 × 4631 × 172 × 1491
LCM(86118,86122) = 3708327198
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