What is the Least Common Multiple of 67847 and 67867?
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 67847 and 67867 is 4604572349.
LCM(67847,67867) = 4604572349
Least Common Multiple of 67847 and 67867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67847 and 67867, than apply into the LCM equation.
GCF(67847,67867) = 1
LCM(67847,67867) = ( 67847 × 67867) / 1
LCM(67847,67867) = 4604572349 / 1
LCM(67847,67867) = 4604572349
Least Common Multiple (LCM) of 67847 and 67867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67847 and 67867. First we will calculate the prime factors of 67847 and 67867.
Prime Factorization of 67847
Prime factors of 67847 are 13, 17, 307. Prime factorization of 67847 in exponential form is:
67847 = 131 × 171 × 3071
Prime Factorization of 67867
Prime factors of 67867 are 67867. Prime factorization of 67867 in exponential form is:
67867 = 678671
Now multiplying the highest exponent prime factors to calculate the LCM of 67847 and 67867.
LCM(67847,67867) = 131 × 171 × 3071 × 678671
LCM(67847,67867) = 4604572349
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