What is the Least Common Multiple of 81155 and 81159?
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 81155 and 81159 is 6586458645.
LCM(81155,81159) = 6586458645
Least Common Multiple of 81155 and 81159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81155 and 81159, than apply into the LCM equation.
GCF(81155,81159) = 1
LCM(81155,81159) = ( 81155 × 81159) / 1
LCM(81155,81159) = 6586458645 / 1
LCM(81155,81159) = 6586458645
Least Common Multiple (LCM) of 81155 and 81159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81155 and 81159. First we will calculate the prime factors of 81155 and 81159.
Prime Factorization of 81155
Prime factors of 81155 are 5, 16231. Prime factorization of 81155 in exponential form is:
81155 = 51 × 162311
Prime Factorization of 81159
Prime factors of 81159 are 3, 13, 2081. Prime factorization of 81159 in exponential form is:
81159 = 31 × 131 × 20811
Now multiplying the highest exponent prime factors to calculate the LCM of 81155 and 81159.
LCM(81155,81159) = 51 × 162311 × 31 × 131 × 20811
LCM(81155,81159) = 6586458645
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