What is the Least Common Multiple of 93230 and 93243?
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 93230 and 93243 is 8693044890.
LCM(93230,93243) = 8693044890
Least Common Multiple of 93230 and 93243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93230 and 93243, than apply into the LCM equation.
GCF(93230,93243) = 1
LCM(93230,93243) = ( 93230 × 93243) / 1
LCM(93230,93243) = 8693044890 / 1
LCM(93230,93243) = 8693044890
Least Common Multiple (LCM) of 93230 and 93243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93230 and 93243. First we will calculate the prime factors of 93230 and 93243.
Prime Factorization of 93230
Prime factors of 93230 are 2, 5, 9323. Prime factorization of 93230 in exponential form is:
93230 = 21 × 51 × 93231
Prime Factorization of 93243
Prime factors of 93243 are 3, 31081. Prime factorization of 93243 in exponential form is:
93243 = 31 × 310811
Now multiplying the highest exponent prime factors to calculate the LCM of 93230 and 93243.
LCM(93230,93243) = 21 × 51 × 93231 × 31 × 310811
LCM(93230,93243) = 8693044890
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