What is the Least Common Multiple of 77029 and 77039?
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 77029 and 77039 is 5934237131.
LCM(77029,77039) = 5934237131
Least Common Multiple of 77029 and 77039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77029 and 77039, than apply into the LCM equation.
GCF(77029,77039) = 1
LCM(77029,77039) = ( 77029 × 77039) / 1
LCM(77029,77039) = 5934237131 / 1
LCM(77029,77039) = 5934237131
Least Common Multiple (LCM) of 77029 and 77039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77029 and 77039. First we will calculate the prime factors of 77029 and 77039.
Prime Factorization of 77029
Prime factors of 77029 are 77029. Prime factorization of 77029 in exponential form is:
77029 = 770291
Prime Factorization of 77039
Prime factors of 77039 are 41, 1879. Prime factorization of 77039 in exponential form is:
77039 = 411 × 18791
Now multiplying the highest exponent prime factors to calculate the LCM of 77029 and 77039.
LCM(77029,77039) = 770291 × 411 × 18791
LCM(77029,77039) = 5934237131
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