What is the Least Common Multiple of 8233 and 8242?
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 8233 and 8242 is 67856386.
LCM(8233,8242) = 67856386
Least Common Multiple of 8233 and 8242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8233 and 8242, than apply into the LCM equation.
GCF(8233,8242) = 1
LCM(8233,8242) = ( 8233 × 8242) / 1
LCM(8233,8242) = 67856386 / 1
LCM(8233,8242) = 67856386
Least Common Multiple (LCM) of 8233 and 8242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8233 and 8242. First we will calculate the prime factors of 8233 and 8242.
Prime Factorization of 8233
Prime factors of 8233 are 8233. Prime factorization of 8233 in exponential form is:
8233 = 82331
Prime Factorization of 8242
Prime factors of 8242 are 2, 13, 317. Prime factorization of 8242 in exponential form is:
8242 = 21 × 131 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 8233 and 8242.
LCM(8233,8242) = 82331 × 21 × 131 × 3171
LCM(8233,8242) = 67856386
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