What is the Least Common Multiple of 66848 and 66854?
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 66848 and 66854 is 2234528096.
LCM(66848,66854) = 2234528096
Least Common Multiple of 66848 and 66854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66848 and 66854, than apply into the LCM equation.
GCF(66848,66854) = 2
LCM(66848,66854) = ( 66848 × 66854) / 2
LCM(66848,66854) = 4469056192 / 2
LCM(66848,66854) = 2234528096
Least Common Multiple (LCM) of 66848 and 66854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66848 and 66854. First we will calculate the prime factors of 66848 and 66854.
Prime Factorization of 66848
Prime factors of 66848 are 2, 2089. Prime factorization of 66848 in exponential form is:
66848 = 25 × 20891
Prime Factorization of 66854
Prime factors of 66854 are 2, 33427. Prime factorization of 66854 in exponential form is:
66854 = 21 × 334271
Now multiplying the highest exponent prime factors to calculate the LCM of 66848 and 66854.
LCM(66848,66854) = 25 × 20891 × 334271
LCM(66848,66854) = 2234528096
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