What is the Least Common Multiple of 28162 and 28178?
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 28162 and 28178 is 396774418.
LCM(28162,28178) = 396774418
Least Common Multiple of 28162 and 28178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28162 and 28178, than apply into the LCM equation.
GCF(28162,28178) = 2
LCM(28162,28178) = ( 28162 × 28178) / 2
LCM(28162,28178) = 793548836 / 2
LCM(28162,28178) = 396774418
Least Common Multiple (LCM) of 28162 and 28178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28162 and 28178. First we will calculate the prime factors of 28162 and 28178.
Prime Factorization of 28162
Prime factors of 28162 are 2, 14081. Prime factorization of 28162 in exponential form is:
28162 = 21 × 140811
Prime Factorization of 28178
Prime factors of 28178 are 2, 73, 193. Prime factorization of 28178 in exponential form is:
28178 = 21 × 731 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 28162 and 28178.
LCM(28162,28178) = 21 × 140811 × 731 × 1931
LCM(28162,28178) = 396774418
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