What is the Least Common Multiple of 67843 and 67847?
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 67843 and 67847 is 4602944021.
LCM(67843,67847) = 4602944021
Least Common Multiple of 67843 and 67847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67843 and 67847, than apply into the LCM equation.
GCF(67843,67847) = 1
LCM(67843,67847) = ( 67843 × 67847) / 1
LCM(67843,67847) = 4602944021 / 1
LCM(67843,67847) = 4602944021
Least Common Multiple (LCM) of 67843 and 67847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67843 and 67847. First we will calculate the prime factors of 67843 and 67847.
Prime Factorization of 67843
Prime factors of 67843 are 67843. Prime factorization of 67843 in exponential form is:
67843 = 678431
Prime Factorization of 67847
Prime factors of 67847 are 13, 17, 307. Prime factorization of 67847 in exponential form is:
67847 = 131 × 171 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 67843 and 67847.
LCM(67843,67847) = 678431 × 131 × 171 × 3071
LCM(67843,67847) = 4602944021
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