What is the Least Common Multiple of 28153 and 28161?
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 28153 and 28161 is 792816633.
LCM(28153,28161) = 792816633
Least Common Multiple of 28153 and 28161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28153 and 28161, than apply into the LCM equation.
GCF(28153,28161) = 1
LCM(28153,28161) = ( 28153 × 28161) / 1
LCM(28153,28161) = 792816633 / 1
LCM(28153,28161) = 792816633
Least Common Multiple (LCM) of 28153 and 28161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28153 and 28161. First we will calculate the prime factors of 28153 and 28161.
Prime Factorization of 28153
Prime factors of 28153 are 47, 599. Prime factorization of 28153 in exponential form is:
28153 = 471 × 5991
Prime Factorization of 28161
Prime factors of 28161 are 3, 7, 149. Prime factorization of 28161 in exponential form is:
28161 = 33 × 71 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 28153 and 28161.
LCM(28153,28161) = 471 × 5991 × 33 × 71 × 1491
LCM(28153,28161) = 792816633
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