What is the Least Common Multiple of 80848 and 80865?
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 80865 is 6537773520.
LCM(80848,80865) = 6537773520
Least Common Multiple of 80848 and 80865 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 80865, than apply into the LCM equation.
GCF(80848,80865) = 1
LCM(80848,80865) = ( 80848 × 80865) / 1
LCM(80848,80865) = 6537773520 / 1
LCM(80848,80865) = 6537773520
Least Common Multiple (LCM) of 80848 and 80865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80848 and 80865. First we will calculate the prime factors of 80848 and 80865.
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 80865
Prime factors of 80865 are 3, 5, 599. Prime factorization of 80865 in exponential form is:
80865 = 33 × 51 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 80848 and 80865.
LCM(80848,80865) = 24 × 311 × 1631 × 33 × 51 × 5991
LCM(80848,80865) = 6537773520
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