What is the Least Common Multiple of 28159 and 28177?
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 28159 and 28177 is 793436143.
LCM(28159,28177) = 793436143
Least Common Multiple of 28159 and 28177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28159 and 28177, than apply into the LCM equation.
GCF(28159,28177) = 1
LCM(28159,28177) = ( 28159 × 28177) / 1
LCM(28159,28177) = 793436143 / 1
LCM(28159,28177) = 793436143
Least Common Multiple (LCM) of 28159 and 28177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28159 and 28177. First we will calculate the prime factors of 28159 and 28177.
Prime Factorization of 28159
Prime factors of 28159 are 29, 971. Prime factorization of 28159 in exponential form is:
28159 = 291 × 9711
Prime Factorization of 28177
Prime factors of 28177 are 19, 1483. Prime factorization of 28177 in exponential form is:
28177 = 191 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 28159 and 28177.
LCM(28159,28177) = 291 × 9711 × 191 × 14831
LCM(28159,28177) = 793436143
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