What is the Least Common Multiple of 84848 and 84864?
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 84848 and 84864 is 450033792.
LCM(84848,84864) = 450033792
Least Common Multiple of 84848 and 84864 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84848 and 84864, than apply into the LCM equation.
GCF(84848,84864) = 16
LCM(84848,84864) = ( 84848 × 84864) / 16
LCM(84848,84864) = 7200540672 / 16
LCM(84848,84864) = 450033792
Least Common Multiple (LCM) of 84848 and 84864 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84848 and 84864. First we will calculate the prime factors of 84848 and 84864.
Prime Factorization of 84848
Prime factors of 84848 are 2, 5303. Prime factorization of 84848 in exponential form is:
84848 = 24 × 53031
Prime Factorization of 84864
Prime factors of 84864 are 2, 3, 13, 17. Prime factorization of 84864 in exponential form is:
84864 = 27 × 31 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 84848 and 84864.
LCM(84848,84864) = 27 × 53031 × 31 × 131 × 171
LCM(84848,84864) = 450033792
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