What is the Least Common Multiple of 77109 and 77129?
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 77109 and 77129 is 5947340061.
LCM(77109,77129) = 5947340061
Least Common Multiple of 77109 and 77129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77109 and 77129, than apply into the LCM equation.
GCF(77109,77129) = 1
LCM(77109,77129) = ( 77109 × 77129) / 1
LCM(77109,77129) = 5947340061 / 1
LCM(77109,77129) = 5947340061
Least Common Multiple (LCM) of 77109 and 77129 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77109 and 77129. First we will calculate the prime factors of 77109 and 77129.
Prime Factorization of 77109
Prime factors of 77109 are 3, 25703. Prime factorization of 77109 in exponential form is:
77109 = 31 × 257031
Prime Factorization of 77129
Prime factors of 77129 are 13, 17, 349. Prime factorization of 77129 in exponential form is:
77129 = 131 × 171 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 77109 and 77129.
LCM(77109,77129) = 31 × 257031 × 131 × 171 × 3491
LCM(77109,77129) = 5947340061
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