What is the Least Common Multiple of 81022 and 81037?
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 81022 and 81037 is 6565779814.
LCM(81022,81037) = 6565779814
Least Common Multiple of 81022 and 81037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81022 and 81037, than apply into the LCM equation.
GCF(81022,81037) = 1
LCM(81022,81037) = ( 81022 × 81037) / 1
LCM(81022,81037) = 6565779814 / 1
LCM(81022,81037) = 6565779814
Least Common Multiple (LCM) of 81022 and 81037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81022 and 81037. First we will calculate the prime factors of 81022 and 81037.
Prime Factorization of 81022
Prime factors of 81022 are 2, 17, 2383. Prime factorization of 81022 in exponential form is:
81022 = 21 × 171 × 23831
Prime Factorization of 81037
Prime factors of 81037 are 11, 53, 139. Prime factorization of 81037 in exponential form is:
81037 = 111 × 531 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 81022 and 81037.
LCM(81022,81037) = 21 × 171 × 23831 × 111 × 531 × 1391
LCM(81022,81037) = 6565779814
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