What is the Least Common Multiple of 84827 and 84844?
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 84827 and 84844 is 7197061988.
LCM(84827,84844) = 7197061988
Least Common Multiple of 84827 and 84844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84827 and 84844, than apply into the LCM equation.
GCF(84827,84844) = 1
LCM(84827,84844) = ( 84827 × 84844) / 1
LCM(84827,84844) = 7197061988 / 1
LCM(84827,84844) = 7197061988
Least Common Multiple (LCM) of 84827 and 84844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84827 and 84844. First we will calculate the prime factors of 84827 and 84844.
Prime Factorization of 84827
Prime factors of 84827 are 84827. Prime factorization of 84827 in exponential form is:
84827 = 848271
Prime Factorization of 84844
Prime factors of 84844 are 2, 21211. Prime factorization of 84844 in exponential form is:
84844 = 22 × 212111
Now multiplying the highest exponent prime factors to calculate the LCM of 84827 and 84844.
LCM(84827,84844) = 848271 × 22 × 212111
LCM(84827,84844) = 7197061988
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