What is the Least Common Multiple of 81122 and 81131?
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 81122 and 81131 is 6581508982.
LCM(81122,81131) = 6581508982
Least Common Multiple of 81122 and 81131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81122 and 81131, than apply into the LCM equation.
GCF(81122,81131) = 1
LCM(81122,81131) = ( 81122 × 81131) / 1
LCM(81122,81131) = 6581508982 / 1
LCM(81122,81131) = 6581508982
Least Common Multiple (LCM) of 81122 and 81131 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81122 and 81131. First we will calculate the prime factors of 81122 and 81131.
Prime Factorization of 81122
Prime factors of 81122 are 2, 47, 863. Prime factorization of 81122 in exponential form is:
81122 = 21 × 471 × 8631
Prime Factorization of 81131
Prime factors of 81131 are 81131. Prime factorization of 81131 in exponential form is:
81131 = 811311
Now multiplying the highest exponent prime factors to calculate the LCM of 81122 and 81131.
LCM(81122,81131) = 21 × 471 × 8631 × 811311
LCM(81122,81131) = 6581508982
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