What is the Least Common Multiple of 8284 and 8297?
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 8284 and 8297 is 68732348.
LCM(8284,8297) = 68732348
Least Common Multiple of 8284 and 8297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8284 and 8297, than apply into the LCM equation.
GCF(8284,8297) = 1
LCM(8284,8297) = ( 8284 × 8297) / 1
LCM(8284,8297) = 68732348 / 1
LCM(8284,8297) = 68732348
Least Common Multiple (LCM) of 8284 and 8297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8284 and 8297. First we will calculate the prime factors of 8284 and 8297.
Prime Factorization of 8284
Prime factors of 8284 are 2, 19, 109. Prime factorization of 8284 in exponential form is:
8284 = 22 × 191 × 1091
Prime Factorization of 8297
Prime factors of 8297 are 8297. Prime factorization of 8297 in exponential form is:
8297 = 82971
Now multiplying the highest exponent prime factors to calculate the LCM of 8284 and 8297.
LCM(8284,8297) = 22 × 191 × 1091 × 82971
LCM(8284,8297) = 68732348
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