What is the Least Common Multiple of 78977 and 78997?
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 78977 and 78997 is 6238946069.
LCM(78977,78997) = 6238946069
Least Common Multiple of 78977 and 78997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78977 and 78997, than apply into the LCM equation.
GCF(78977,78997) = 1
LCM(78977,78997) = ( 78977 × 78997) / 1
LCM(78977,78997) = 6238946069 / 1
LCM(78977,78997) = 6238946069
Least Common Multiple (LCM) of 78977 and 78997 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78977 and 78997. First we will calculate the prime factors of 78977 and 78997.
Prime Factorization of 78977
Prime factors of 78977 are 78977. Prime factorization of 78977 in exponential form is:
78977 = 789771
Prime Factorization of 78997
Prime factors of 78997 are 197, 401. Prime factorization of 78997 in exponential form is:
78997 = 1971 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 78977 and 78997.
LCM(78977,78997) = 789771 × 1971 × 4011
LCM(78977,78997) = 6238946069
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