What is the Least Common Multiple of 28187 and 28201?
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 28187 and 28201 is 794901587.
LCM(28187,28201) = 794901587
Least Common Multiple of 28187 and 28201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28187 and 28201, than apply into the LCM equation.
GCF(28187,28201) = 1
LCM(28187,28201) = ( 28187 × 28201) / 1
LCM(28187,28201) = 794901587 / 1
LCM(28187,28201) = 794901587
Least Common Multiple (LCM) of 28187 and 28201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28187 and 28201. First we will calculate the prime factors of 28187 and 28201.
Prime Factorization of 28187
Prime factors of 28187 are 71, 397. Prime factorization of 28187 in exponential form is:
28187 = 711 × 3971
Prime Factorization of 28201
Prime factors of 28201 are 28201. Prime factorization of 28201 in exponential form is:
28201 = 282011
Now multiplying the highest exponent prime factors to calculate the LCM of 28187 and 28201.
LCM(28187,28201) = 711 × 3971 × 282011
LCM(28187,28201) = 794901587
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