What is the Least Common Multiple of 80169 and 80182?
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 80169 and 80182 is 6428110758.
LCM(80169,80182) = 6428110758
Least Common Multiple of 80169 and 80182 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80169 and 80182, than apply into the LCM equation.
GCF(80169,80182) = 1
LCM(80169,80182) = ( 80169 × 80182) / 1
LCM(80169,80182) = 6428110758 / 1
LCM(80169,80182) = 6428110758
Least Common Multiple (LCM) of 80169 and 80182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80169 and 80182. First we will calculate the prime factors of 80169 and 80182.
Prime Factorization of 80169
Prime factors of 80169 are 3, 26723. Prime factorization of 80169 in exponential form is:
80169 = 31 × 267231
Prime Factorization of 80182
Prime factors of 80182 are 2, 47, 853. Prime factorization of 80182 in exponential form is:
80182 = 21 × 471 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 80169 and 80182.
LCM(80169,80182) = 31 × 267231 × 21 × 471 × 8531
LCM(80169,80182) = 6428110758
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