What is the Least Common Multiple of 28471 and 28486?
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 28471 and 28486 is 811024906.
LCM(28471,28486) = 811024906
Least Common Multiple of 28471 and 28486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28471 and 28486, than apply into the LCM equation.
GCF(28471,28486) = 1
LCM(28471,28486) = ( 28471 × 28486) / 1
LCM(28471,28486) = 811024906 / 1
LCM(28471,28486) = 811024906
Least Common Multiple (LCM) of 28471 and 28486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28471 and 28486. First we will calculate the prime factors of 28471 and 28486.
Prime Factorization of 28471
Prime factors of 28471 are 71, 401. Prime factorization of 28471 in exponential form is:
28471 = 711 × 4011
Prime Factorization of 28486
Prime factors of 28486 are 2, 14243. Prime factorization of 28486 in exponential form is:
28486 = 21 × 142431
Now multiplying the highest exponent prime factors to calculate the LCM of 28471 and 28486.
LCM(28471,28486) = 711 × 4011 × 21 × 142431
LCM(28471,28486) = 811024906
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