What is the Least Common Multiple of 28181 and 28186?
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 28181 and 28186 is 794309666.
LCM(28181,28186) = 794309666
Least Common Multiple of 28181 and 28186 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28181 and 28186, than apply into the LCM equation.
GCF(28181,28186) = 1
LCM(28181,28186) = ( 28181 × 28186) / 1
LCM(28181,28186) = 794309666 / 1
LCM(28181,28186) = 794309666
Least Common Multiple (LCM) of 28181 and 28186 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28181 and 28186. First we will calculate the prime factors of 28181 and 28186.
Prime Factorization of 28181
Prime factors of 28181 are 28181. Prime factorization of 28181 in exponential form is:
28181 = 281811
Prime Factorization of 28186
Prime factors of 28186 are 2, 17, 829. Prime factorization of 28186 in exponential form is:
28186 = 21 × 171 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 28181 and 28186.
LCM(28181,28186) = 281811 × 21 × 171 × 8291
LCM(28181,28186) = 794309666
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