What is the Least Common Multiple of 4129 and 4133?
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 4129 and 4133 is 17065157.
LCM(4129,4133) = 17065157
Least Common Multiple of 4129 and 4133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4129 and 4133, than apply into the LCM equation.
GCF(4129,4133) = 1
LCM(4129,4133) = ( 4129 × 4133) / 1
LCM(4129,4133) = 17065157 / 1
LCM(4129,4133) = 17065157
Least Common Multiple (LCM) of 4129 and 4133 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4129 and 4133. First we will calculate the prime factors of 4129 and 4133.
Prime Factorization of 4129
Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:
4129 = 41291
Prime Factorization of 4133
Prime factors of 4133 are 4133. Prime factorization of 4133 in exponential form is:
4133 = 41331
Now multiplying the highest exponent prime factors to calculate the LCM of 4129 and 4133.
LCM(4129,4133) = 41291 × 41331
LCM(4129,4133) = 17065157
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