What is the Least Common Multiple of 64595 and 64615?
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 64595 and 64615 is 834761185.
LCM(64595,64615) = 834761185
Least Common Multiple of 64595 and 64615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64595 and 64615, than apply into the LCM equation.
GCF(64595,64615) = 5
LCM(64595,64615) = ( 64595 × 64615) / 5
LCM(64595,64615) = 4173805925 / 5
LCM(64595,64615) = 834761185
Least Common Multiple (LCM) of 64595 and 64615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64595 and 64615. First we will calculate the prime factors of 64595 and 64615.
Prime Factorization of 64595
Prime factors of 64595 are 5, 12919. Prime factorization of 64595 in exponential form is:
64595 = 51 × 129191
Prime Factorization of 64615
Prime factors of 64615 are 5, 12923. Prime factorization of 64615 in exponential form is:
64615 = 51 × 129231
Now multiplying the highest exponent prime factors to calculate the LCM of 64595 and 64615.
LCM(64595,64615) = 51 × 129191 × 129231
LCM(64595,64615) = 834761185
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