What is the Least Common Multiple of 80491 and 80502?
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 80491 and 80502 is 6479686482.
LCM(80491,80502) = 6479686482
Least Common Multiple of 80491 and 80502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80491 and 80502, than apply into the LCM equation.
GCF(80491,80502) = 1
LCM(80491,80502) = ( 80491 × 80502) / 1
LCM(80491,80502) = 6479686482 / 1
LCM(80491,80502) = 6479686482
Least Common Multiple (LCM) of 80491 and 80502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80491 and 80502. First we will calculate the prime factors of 80491 and 80502.
Prime Factorization of 80491
Prime factors of 80491 are 80491. Prime factorization of 80491 in exponential form is:
80491 = 804911
Prime Factorization of 80502
Prime factors of 80502 are 2, 3, 13417. Prime factorization of 80502 in exponential form is:
80502 = 21 × 31 × 134171
Now multiplying the highest exponent prime factors to calculate the LCM of 80491 and 80502.
LCM(80491,80502) = 804911 × 21 × 31 × 134171
LCM(80491,80502) = 6479686482
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