What is the Least Common Multiple of 28482 and 28493?
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 28482 and 28493 is 811537626.
LCM(28482,28493) = 811537626
Least Common Multiple of 28482 and 28493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28482 and 28493, than apply into the LCM equation.
GCF(28482,28493) = 1
LCM(28482,28493) = ( 28482 × 28493) / 1
LCM(28482,28493) = 811537626 / 1
LCM(28482,28493) = 811537626
Least Common Multiple (LCM) of 28482 and 28493 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28482 and 28493. First we will calculate the prime factors of 28482 and 28493.
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
Prime Factorization of 28493
Prime factors of 28493 are 28493. Prime factorization of 28493 in exponential form is:
28493 = 284931
Now multiplying the highest exponent prime factors to calculate the LCM of 28482 and 28493.
LCM(28482,28493) = 21 × 31 × 471 × 1011 × 284931
LCM(28482,28493) = 811537626
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