What is the Least Common Multiple of 81123 and 81127?
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 81123 and 81127 is 6581265621.
LCM(81123,81127) = 6581265621
Least Common Multiple of 81123 and 81127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81123 and 81127, than apply into the LCM equation.
GCF(81123,81127) = 1
LCM(81123,81127) = ( 81123 × 81127) / 1
LCM(81123,81127) = 6581265621 / 1
LCM(81123,81127) = 6581265621
Least Common Multiple (LCM) of 81123 and 81127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81123 and 81127. First we will calculate the prime factors of 81123 and 81127.
Prime Factorization of 81123
Prime factors of 81123 are 3, 7, 3863. Prime factorization of 81123 in exponential form is:
81123 = 31 × 71 × 38631
Prime Factorization of 81127
Prime factors of 81127 are 31, 2617. Prime factorization of 81127 in exponential form is:
81127 = 311 × 26171
Now multiplying the highest exponent prime factors to calculate the LCM of 81123 and 81127.
LCM(81123,81127) = 31 × 71 × 38631 × 311 × 26171
LCM(81123,81127) = 6581265621
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