What is the Least Common Multiple of 8230 and 8243?
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 8230 and 8243 is 67839890.
LCM(8230,8243) = 67839890
Least Common Multiple of 8230 and 8243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8230 and 8243, than apply into the LCM equation.
GCF(8230,8243) = 1
LCM(8230,8243) = ( 8230 × 8243) / 1
LCM(8230,8243) = 67839890 / 1
LCM(8230,8243) = 67839890
Least Common Multiple (LCM) of 8230 and 8243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8230 and 8243. First we will calculate the prime factors of 8230 and 8243.
Prime Factorization of 8230
Prime factors of 8230 are 2, 5, 823. Prime factorization of 8230 in exponential form is:
8230 = 21 × 51 × 8231
Prime Factorization of 8243
Prime factors of 8243 are 8243. Prime factorization of 8243 in exponential form is:
8243 = 82431
Now multiplying the highest exponent prime factors to calculate the LCM of 8230 and 8243.
LCM(8230,8243) = 21 × 51 × 8231 × 82431
LCM(8230,8243) = 67839890
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