What is the Least Common Multiple of 81371 and 81379?
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 81371 and 81379 is 6621890609.
LCM(81371,81379) = 6621890609
Least Common Multiple of 81371 and 81379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81371 and 81379, than apply into the LCM equation.
GCF(81371,81379) = 1
LCM(81371,81379) = ( 81371 × 81379) / 1
LCM(81371,81379) = 6621890609 / 1
LCM(81371,81379) = 6621890609
Least Common Multiple (LCM) of 81371 and 81379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81371 and 81379. First we will calculate the prime factors of 81371 and 81379.
Prime Factorization of 81371
Prime factors of 81371 are 81371. Prime factorization of 81371 in exponential form is:
81371 = 813711
Prime Factorization of 81379
Prime factors of 81379 are 17, 4787. Prime factorization of 81379 in exponential form is:
81379 = 171 × 47871
Now multiplying the highest exponent prime factors to calculate the LCM of 81371 and 81379.
LCM(81371,81379) = 813711 × 171 × 47871
LCM(81371,81379) = 6621890609
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