What is the Least Common Multiple of 8268 and 8274?
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 8268 and 8274 is 11401572.
LCM(8268,8274) = 11401572
Least Common Multiple of 8268 and 8274 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8268 and 8274, than apply into the LCM equation.
GCF(8268,8274) = 6
LCM(8268,8274) = ( 8268 × 8274) / 6
LCM(8268,8274) = 68409432 / 6
LCM(8268,8274) = 11401572
Least Common Multiple (LCM) of 8268 and 8274 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8268 and 8274. First we will calculate the prime factors of 8268 and 8274.
Prime Factorization of 8268
Prime factors of 8268 are 2, 3, 13, 53. Prime factorization of 8268 in exponential form is:
8268 = 22 × 31 × 131 × 531
Prime Factorization of 8274
Prime factors of 8274 are 2, 3, 7, 197. Prime factorization of 8274 in exponential form is:
8274 = 21 × 31 × 71 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 8268 and 8274.
LCM(8268,8274) = 22 × 31 × 131 × 531 × 71 × 1971
LCM(8268,8274) = 11401572
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