What is the Least Common Multiple of 80846 and 80855?
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 80846 and 80855 is 6536803330.
LCM(80846,80855) = 6536803330
Least Common Multiple of 80846 and 80855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80846 and 80855, than apply into the LCM equation.
GCF(80846,80855) = 1
LCM(80846,80855) = ( 80846 × 80855) / 1
LCM(80846,80855) = 6536803330 / 1
LCM(80846,80855) = 6536803330
Least Common Multiple (LCM) of 80846 and 80855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80846 and 80855. First we will calculate the prime factors of 80846 and 80855.
Prime Factorization of 80846
Prime factors of 80846 are 2, 40423. Prime factorization of 80846 in exponential form is:
80846 = 21 × 404231
Prime Factorization of 80855
Prime factors of 80855 are 5, 103, 157. Prime factorization of 80855 in exponential form is:
80855 = 51 × 1031 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 80846 and 80855.
LCM(80846,80855) = 21 × 404231 × 51 × 1031 × 1571
LCM(80846,80855) = 6536803330
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