What is the Least Common Multiple of 28886 and 28901?
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 28886 and 28901 is 834834286.
LCM(28886,28901) = 834834286
Least Common Multiple of 28886 and 28901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28886 and 28901, than apply into the LCM equation.
GCF(28886,28901) = 1
LCM(28886,28901) = ( 28886 × 28901) / 1
LCM(28886,28901) = 834834286 / 1
LCM(28886,28901) = 834834286
Least Common Multiple (LCM) of 28886 and 28901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28886 and 28901. First we will calculate the prime factors of 28886 and 28901.
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
Prime Factorization of 28901
Prime factors of 28901 are 28901. Prime factorization of 28901 in exponential form is:
28901 = 289011
Now multiplying the highest exponent prime factors to calculate the LCM of 28886 and 28901.
LCM(28886,28901) = 21 × 111 × 131 × 1011 × 289011
LCM(28886,28901) = 834834286
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