What is the Least Common Multiple of 28882 and 28886?
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 28882 and 28886 is 417142726.
LCM(28882,28886) = 417142726
Least Common Multiple of 28882 and 28886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28882 and 28886, than apply into the LCM equation.
GCF(28882,28886) = 2
LCM(28882,28886) = ( 28882 × 28886) / 2
LCM(28882,28886) = 834285452 / 2
LCM(28882,28886) = 417142726
Least Common Multiple (LCM) of 28882 and 28886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28882 and 28886. First we will calculate the prime factors of 28882 and 28886.
Prime Factorization of 28882
Prime factors of 28882 are 2, 7, 2063. Prime factorization of 28882 in exponential form is:
28882 = 21 × 71 × 20631
Prime Factorization of 28886
Prime factors of 28886 are 2, 11, 13, 101. Prime factorization of 28886 in exponential form is:
28886 = 21 × 111 × 131 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 28882 and 28886.
LCM(28882,28886) = 21 × 71 × 20631 × 111 × 131 × 1011
LCM(28882,28886) = 417142726
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