What is the Least Common Multiple of 8395 and 8399?
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 8395 and 8399 is 70509605.
LCM(8395,8399) = 70509605
Least Common Multiple of 8395 and 8399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8395 and 8399, than apply into the LCM equation.
GCF(8395,8399) = 1
LCM(8395,8399) = ( 8395 × 8399) / 1
LCM(8395,8399) = 70509605 / 1
LCM(8395,8399) = 70509605
Least Common Multiple (LCM) of 8395 and 8399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8395 and 8399. First we will calculate the prime factors of 8395 and 8399.
Prime Factorization of 8395
Prime factors of 8395 are 5, 23, 73. Prime factorization of 8395 in exponential form is:
8395 = 51 × 231 × 731
Prime Factorization of 8399
Prime factors of 8399 are 37, 227. Prime factorization of 8399 in exponential form is:
8399 = 371 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 8395 and 8399.
LCM(8395,8399) = 51 × 231 × 731 × 371 × 2271
LCM(8395,8399) = 70509605
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