What is the Least Common Multiple of 81164 and 81173?
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 81164 and 81173 is 6588325372.
LCM(81164,81173) = 6588325372
Least Common Multiple of 81164 and 81173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81164 and 81173, than apply into the LCM equation.
GCF(81164,81173) = 1
LCM(81164,81173) = ( 81164 × 81173) / 1
LCM(81164,81173) = 6588325372 / 1
LCM(81164,81173) = 6588325372
Least Common Multiple (LCM) of 81164 and 81173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81164 and 81173. First we will calculate the prime factors of 81164 and 81173.
Prime Factorization of 81164
Prime factors of 81164 are 2, 103, 197. Prime factorization of 81164 in exponential form is:
81164 = 22 × 1031 × 1971
Prime Factorization of 81173
Prime factors of 81173 are 81173. Prime factorization of 81173 in exponential form is:
81173 = 811731
Now multiplying the highest exponent prime factors to calculate the LCM of 81164 and 81173.
LCM(81164,81173) = 22 × 1031 × 1971 × 811731
LCM(81164,81173) = 6588325372
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