What is the Least Common Multiple of 28085 and 28091?
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 28085 and 28091 is 788935735.
LCM(28085,28091) = 788935735
Least Common Multiple of 28085 and 28091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28085 and 28091, than apply into the LCM equation.
GCF(28085,28091) = 1
LCM(28085,28091) = ( 28085 × 28091) / 1
LCM(28085,28091) = 788935735 / 1
LCM(28085,28091) = 788935735
Least Common Multiple (LCM) of 28085 and 28091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28085 and 28091. First we will calculate the prime factors of 28085 and 28091.
Prime Factorization of 28085
Prime factors of 28085 are 5, 41, 137. Prime factorization of 28085 in exponential form is:
28085 = 51 × 411 × 1371
Prime Factorization of 28091
Prime factors of 28091 are 7, 4013. Prime factorization of 28091 in exponential form is:
28091 = 71 × 40131
Now multiplying the highest exponent prime factors to calculate the LCM of 28085 and 28091.
LCM(28085,28091) = 51 × 411 × 1371 × 71 × 40131
LCM(28085,28091) = 788935735
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