What is the Least Common Multiple of 65159 and 65163?
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 65159 and 65163 is 4245955917.
LCM(65159,65163) = 4245955917
Least Common Multiple of 65159 and 65163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65159 and 65163, than apply into the LCM equation.
GCF(65159,65163) = 1
LCM(65159,65163) = ( 65159 × 65163) / 1
LCM(65159,65163) = 4245955917 / 1
LCM(65159,65163) = 4245955917
Least Common Multiple (LCM) of 65159 and 65163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65159 and 65163. First we will calculate the prime factors of 65159 and 65163.
Prime Factorization of 65159
Prime factors of 65159 are 23, 2833. Prime factorization of 65159 in exponential form is:
65159 = 231 × 28331
Prime Factorization of 65163
Prime factors of 65163 are 3, 7, 29, 107. Prime factorization of 65163 in exponential form is:
65163 = 31 × 71 × 291 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 65159 and 65163.
LCM(65159,65163) = 231 × 28331 × 31 × 71 × 291 × 1071
LCM(65159,65163) = 4245955917
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