What is the Least Common Multiple of 84856 and 84866?
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 84856 and 84866 is 3600694648.
LCM(84856,84866) = 3600694648
Least Common Multiple of 84856 and 84866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84856 and 84866, than apply into the LCM equation.
GCF(84856,84866) = 2
LCM(84856,84866) = ( 84856 × 84866) / 2
LCM(84856,84866) = 7201389296 / 2
LCM(84856,84866) = 3600694648
Least Common Multiple (LCM) of 84856 and 84866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84856 and 84866. First we will calculate the prime factors of 84856 and 84866.
Prime Factorization of 84856
Prime factors of 84856 are 2, 10607. Prime factorization of 84856 in exponential form is:
84856 = 23 × 106071
Prime Factorization of 84866
Prime factors of 84866 are 2, 42433. Prime factorization of 84866 in exponential form is:
84866 = 21 × 424331
Now multiplying the highest exponent prime factors to calculate the LCM of 84856 and 84866.
LCM(84856,84866) = 23 × 106071 × 424331
LCM(84856,84866) = 3600694648
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