What is the Least Common Multiple of 77329 and 77334?
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 77329 and 77334 is 5980160886.
LCM(77329,77334) = 5980160886
Least Common Multiple of 77329 and 77334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77329 and 77334, than apply into the LCM equation.
GCF(77329,77334) = 1
LCM(77329,77334) = ( 77329 × 77334) / 1
LCM(77329,77334) = 5980160886 / 1
LCM(77329,77334) = 5980160886
Least Common Multiple (LCM) of 77329 and 77334 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77329 and 77334. First we will calculate the prime factors of 77329 and 77334.
Prime Factorization of 77329
Prime factors of 77329 are 7, 11047. Prime factorization of 77329 in exponential form is:
77329 = 71 × 110471
Prime Factorization of 77334
Prime factors of 77334 are 2, 3, 12889. Prime factorization of 77334 in exponential form is:
77334 = 21 × 31 × 128891
Now multiplying the highest exponent prime factors to calculate the LCM of 77329 and 77334.
LCM(77329,77334) = 71 × 110471 × 21 × 31 × 128891
LCM(77329,77334) = 5980160886
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