What is the Least Common Multiple of 76991 and 77007?
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 76991 and 77007 is 5928845937.
LCM(76991,77007) = 5928845937
Least Common Multiple of 76991 and 77007 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76991 and 77007, than apply into the LCM equation.
GCF(76991,77007) = 1
LCM(76991,77007) = ( 76991 × 77007) / 1
LCM(76991,77007) = 5928845937 / 1
LCM(76991,77007) = 5928845937
Least Common Multiple (LCM) of 76991 and 77007 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76991 and 77007. First we will calculate the prime factors of 76991 and 77007.
Prime Factorization of 76991
Prime factors of 76991 are 76991. Prime factorization of 76991 in exponential form is:
76991 = 769911
Prime Factorization of 77007
Prime factors of 77007 are 3, 7, 19, 193. Prime factorization of 77007 in exponential form is:
77007 = 31 × 71 × 191 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 76991 and 77007.
LCM(76991,77007) = 769911 × 31 × 71 × 191 × 1931
LCM(76991,77007) = 5928845937
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