What is the Least Common Multiple of 81079 and 81098?
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 81079 and 81098 is 6575344742.
LCM(81079,81098) = 6575344742
Least Common Multiple of 81079 and 81098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81079 and 81098, than apply into the LCM equation.
GCF(81079,81098) = 1
LCM(81079,81098) = ( 81079 × 81098) / 1
LCM(81079,81098) = 6575344742 / 1
LCM(81079,81098) = 6575344742
Least Common Multiple (LCM) of 81079 and 81098 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81079 and 81098. First we will calculate the prime factors of 81079 and 81098.
Prime Factorization of 81079
Prime factors of 81079 are 89, 911. Prime factorization of 81079 in exponential form is:
81079 = 891 × 9111
Prime Factorization of 81098
Prime factors of 81098 are 2, 23, 41, 43. Prime factorization of 81098 in exponential form is:
81098 = 21 × 231 × 411 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 81079 and 81098.
LCM(81079,81098) = 891 × 9111 × 21 × 231 × 411 × 431
LCM(81079,81098) = 6575344742
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