What is the Least Common Multiple of 24323 and 24340?
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 24323 and 24340 is 592021820.
LCM(24323,24340) = 592021820
Least Common Multiple of 24323 and 24340 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24323 and 24340, than apply into the LCM equation.
GCF(24323,24340) = 1
LCM(24323,24340) = ( 24323 × 24340) / 1
LCM(24323,24340) = 592021820 / 1
LCM(24323,24340) = 592021820
Least Common Multiple (LCM) of 24323 and 24340 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24323 and 24340. First we will calculate the prime factors of 24323 and 24340.
Prime Factorization of 24323
Prime factors of 24323 are 13, 1871. Prime factorization of 24323 in exponential form is:
24323 = 131 × 18711
Prime Factorization of 24340
Prime factors of 24340 are 2, 5, 1217. Prime factorization of 24340 in exponential form is:
24340 = 22 × 51 × 12171
Now multiplying the highest exponent prime factors to calculate the LCM of 24323 and 24340.
LCM(24323,24340) = 131 × 18711 × 22 × 51 × 12171
LCM(24323,24340) = 592021820
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