What is the Least Common Multiple of 84854 and 84858?
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 84854 and 84858 is 3600270366.
LCM(84854,84858) = 3600270366
Least Common Multiple of 84854 and 84858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84854 and 84858, than apply into the LCM equation.
GCF(84854,84858) = 2
LCM(84854,84858) = ( 84854 × 84858) / 2
LCM(84854,84858) = 7200540732 / 2
LCM(84854,84858) = 3600270366
Least Common Multiple (LCM) of 84854 and 84858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84854 and 84858. First we will calculate the prime factors of 84854 and 84858.
Prime Factorization of 84854
Prime factors of 84854 are 2, 7, 11, 19, 29. Prime factorization of 84854 in exponential form is:
84854 = 21 × 71 × 111 × 191 × 291
Prime Factorization of 84858
Prime factors of 84858 are 2, 3, 14143. Prime factorization of 84858 in exponential form is:
84858 = 21 × 31 × 141431
Now multiplying the highest exponent prime factors to calculate the LCM of 84854 and 84858.
LCM(84854,84858) = 21 × 71 × 111 × 191 × 291 × 31 × 141431
LCM(84854,84858) = 3600270366
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