What is the Least Common Multiple of 76033 and 76039?
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 76033 and 76039 is 5781473287.
LCM(76033,76039) = 5781473287
Least Common Multiple of 76033 and 76039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76033 and 76039, than apply into the LCM equation.
GCF(76033,76039) = 1
LCM(76033,76039) = ( 76033 × 76039) / 1
LCM(76033,76039) = 5781473287 / 1
LCM(76033,76039) = 5781473287
Least Common Multiple (LCM) of 76033 and 76039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76033 and 76039. First we will calculate the prime factors of 76033 and 76039.
Prime Factorization of 76033
Prime factors of 76033 are 139, 547. Prime factorization of 76033 in exponential form is:
76033 = 1391 × 5471
Prime Factorization of 76039
Prime factors of 76039 are 76039. Prime factorization of 76039 in exponential form is:
76039 = 760391
Now multiplying the highest exponent prime factors to calculate the LCM of 76033 and 76039.
LCM(76033,76039) = 1391 × 5471 × 760391
LCM(76033,76039) = 5781473287
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