What is the Least Common Multiple of 28147 and 28163?
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 28147 and 28163 is 792703961.
LCM(28147,28163) = 792703961
Least Common Multiple of 28147 and 28163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28147 and 28163, than apply into the LCM equation.
GCF(28147,28163) = 1
LCM(28147,28163) = ( 28147 × 28163) / 1
LCM(28147,28163) = 792703961 / 1
LCM(28147,28163) = 792703961
Least Common Multiple (LCM) of 28147 and 28163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28147 and 28163. First we will calculate the prime factors of 28147 and 28163.
Prime Factorization of 28147
Prime factors of 28147 are 7, 4021. Prime factorization of 28147 in exponential form is:
28147 = 71 × 40211
Prime Factorization of 28163
Prime factors of 28163 are 28163. Prime factorization of 28163 in exponential form is:
28163 = 281631
Now multiplying the highest exponent prime factors to calculate the LCM of 28147 and 28163.
LCM(28147,28163) = 71 × 40211 × 281631
LCM(28147,28163) = 792703961
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