What is the Least Common Multiple of 82147 and 82151?
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 82147 and 82151 is 6748458197.
LCM(82147,82151) = 6748458197
Least Common Multiple of 82147 and 82151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82147 and 82151, than apply into the LCM equation.
GCF(82147,82151) = 1
LCM(82147,82151) = ( 82147 × 82151) / 1
LCM(82147,82151) = 6748458197 / 1
LCM(82147,82151) = 6748458197
Least Common Multiple (LCM) of 82147 and 82151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82147 and 82151. First we will calculate the prime factors of 82147 and 82151.
Prime Factorization of 82147
Prime factors of 82147 are 13, 71, 89. Prime factorization of 82147 in exponential form is:
82147 = 131 × 711 × 891
Prime Factorization of 82151
Prime factors of 82151 are 113, 727. Prime factorization of 82151 in exponential form is:
82151 = 1131 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 82147 and 82151.
LCM(82147,82151) = 131 × 711 × 891 × 1131 × 7271
LCM(82147,82151) = 6748458197
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