What is the Least Common Multiple of 80848 and 80863?
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 80848 and 80863 is 6537611824.
LCM(80848,80863) = 6537611824
Least Common Multiple of 80848 and 80863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80848 and 80863, than apply into the LCM equation.
GCF(80848,80863) = 1
LCM(80848,80863) = ( 80848 × 80863) / 1
LCM(80848,80863) = 6537611824 / 1
LCM(80848,80863) = 6537611824
Least Common Multiple (LCM) of 80848 and 80863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80848 and 80863. First we will calculate the prime factors of 80848 and 80863.
Prime Factorization of 80848
Prime factors of 80848 are 2, 31, 163. Prime factorization of 80848 in exponential form is:
80848 = 24 × 311 × 1631
Prime Factorization of 80863
Prime factors of 80863 are 80863. Prime factorization of 80863 in exponential form is:
80863 = 808631
Now multiplying the highest exponent prime factors to calculate the LCM of 80848 and 80863.
LCM(80848,80863) = 24 × 311 × 1631 × 808631
LCM(80848,80863) = 6537611824
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