What is the Least Common Multiple of 28477 and 28482?
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 28477 and 28482 is 811081914.
LCM(28477,28482) = 811081914
Least Common Multiple of 28477 and 28482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28477 and 28482, than apply into the LCM equation.
GCF(28477,28482) = 1
LCM(28477,28482) = ( 28477 × 28482) / 1
LCM(28477,28482) = 811081914 / 1
LCM(28477,28482) = 811081914
Least Common Multiple (LCM) of 28477 and 28482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28477 and 28482. First we will calculate the prime factors of 28477 and 28482.
Prime Factorization of 28477
Prime factors of 28477 are 28477. Prime factorization of 28477 in exponential form is:
28477 = 284771
Prime Factorization of 28482
Prime factors of 28482 are 2, 3, 47, 101. Prime factorization of 28482 in exponential form is:
28482 = 21 × 31 × 471 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 28477 and 28482.
LCM(28477,28482) = 284771 × 21 × 31 × 471 × 1011
LCM(28477,28482) = 811081914
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