What is the Least Common Multiple of 76977 and 76991?
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 76977 and 76991 is 5926536207.
LCM(76977,76991) = 5926536207
Least Common Multiple of 76977 and 76991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76977 and 76991, than apply into the LCM equation.
GCF(76977,76991) = 1
LCM(76977,76991) = ( 76977 × 76991) / 1
LCM(76977,76991) = 5926536207 / 1
LCM(76977,76991) = 5926536207
Least Common Multiple (LCM) of 76977 and 76991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76977 and 76991. First we will calculate the prime factors of 76977 and 76991.
Prime Factorization of 76977
Prime factors of 76977 are 3, 2851. Prime factorization of 76977 in exponential form is:
76977 = 33 × 28511
Prime Factorization of 76991
Prime factors of 76991 are 76991. Prime factorization of 76991 in exponential form is:
76991 = 769911
Now multiplying the highest exponent prime factors to calculate the LCM of 76977 and 76991.
LCM(76977,76991) = 33 × 28511 × 769911
LCM(76977,76991) = 5926536207
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