What is the Least Common Multiple of 28187 and 28196?
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 28196 is 794760652.
LCM(28187,28196) = 794760652
Least Common Multiple of 28187 and 28196 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 28196, than apply into the LCM equation.
GCF(28187,28196) = 1
LCM(28187,28196) = ( 28187 × 28196) / 1
LCM(28187,28196) = 794760652 / 1
LCM(28187,28196) = 794760652
Least Common Multiple (LCM) of 28187 and 28196 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28187 and 28196. First we will calculate the prime factors of 28187 and 28196.
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 28196
Prime factors of 28196 are 2, 7, 19, 53. Prime factorization of 28196 in exponential form is:
28196 = 22 × 71 × 191 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 28187 and 28196.
LCM(28187,28196) = 711 × 3971 × 22 × 71 × 191 × 531
LCM(28187,28196) = 794760652
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