What is the Least Common Multiple of 76986 and 77005?
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 76986 and 77005 is 5928306930.
LCM(76986,77005) = 5928306930
Least Common Multiple of 76986 and 77005 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76986 and 77005, than apply into the LCM equation.
GCF(76986,77005) = 1
LCM(76986,77005) = ( 76986 × 77005) / 1
LCM(76986,77005) = 5928306930 / 1
LCM(76986,77005) = 5928306930
Least Common Multiple (LCM) of 76986 and 77005 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76986 and 77005. First we will calculate the prime factors of 76986 and 77005.
Prime Factorization of 76986
Prime factors of 76986 are 2, 3, 7, 13, 47. Prime factorization of 76986 in exponential form is:
76986 = 21 × 32 × 71 × 131 × 471
Prime Factorization of 77005
Prime factors of 77005 are 5, 15401. Prime factorization of 77005 in exponential form is:
77005 = 51 × 154011
Now multiplying the highest exponent prime factors to calculate the LCM of 76986 and 77005.
LCM(76986,77005) = 21 × 32 × 71 × 131 × 471 × 51 × 154011
LCM(76986,77005) = 5928306930
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