What is the Least Common Multiple of 8343 and 8352?
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 8343 and 8352 is 7742304.
LCM(8343,8352) = 7742304
Least Common Multiple of 8343 and 8352 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8343 and 8352, than apply into the LCM equation.
GCF(8343,8352) = 9
LCM(8343,8352) = ( 8343 × 8352) / 9
LCM(8343,8352) = 69680736 / 9
LCM(8343,8352) = 7742304
Least Common Multiple (LCM) of 8343 and 8352 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8343 and 8352. First we will calculate the prime factors of 8343 and 8352.
Prime Factorization of 8343
Prime factors of 8343 are 3, 103. Prime factorization of 8343 in exponential form is:
8343 = 34 × 1031
Prime Factorization of 8352
Prime factors of 8352 are 2, 3, 29. Prime factorization of 8352 in exponential form is:
8352 = 25 × 32 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 8343 and 8352.
LCM(8343,8352) = 34 × 1031 × 25 × 291
LCM(8343,8352) = 7742304
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