What is the Least Common Multiple of 8327 and 8343?
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 8327 and 8343 is 69472161.
LCM(8327,8343) = 69472161
Least Common Multiple of 8327 and 8343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8327 and 8343, than apply into the LCM equation.
GCF(8327,8343) = 1
LCM(8327,8343) = ( 8327 × 8343) / 1
LCM(8327,8343) = 69472161 / 1
LCM(8327,8343) = 69472161
Least Common Multiple (LCM) of 8327 and 8343 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8327 and 8343. First we will calculate the prime factors of 8327 and 8343.
Prime Factorization of 8327
Prime factors of 8327 are 11, 757. Prime factorization of 8327 in exponential form is:
8327 = 111 × 7571
Prime Factorization of 8343
Prime factors of 8343 are 3, 103. Prime factorization of 8343 in exponential form is:
8343 = 34 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 8327 and 8343.
LCM(8327,8343) = 111 × 7571 × 34 × 1031
LCM(8327,8343) = 69472161
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