What is the Least Common Multiple of 24329 and 24338?
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 24329 and 24338 is 592119202.
LCM(24329,24338) = 592119202
Least Common Multiple of 24329 and 24338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24329 and 24338, than apply into the LCM equation.
GCF(24329,24338) = 1
LCM(24329,24338) = ( 24329 × 24338) / 1
LCM(24329,24338) = 592119202 / 1
LCM(24329,24338) = 592119202
Least Common Multiple (LCM) of 24329 and 24338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24329 and 24338. First we will calculate the prime factors of 24329 and 24338.
Prime Factorization of 24329
Prime factors of 24329 are 24329. Prime factorization of 24329 in exponential form is:
24329 = 243291
Prime Factorization of 24338
Prime factors of 24338 are 2, 43, 283. Prime factorization of 24338 in exponential form is:
24338 = 21 × 431 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 24329 and 24338.
LCM(24329,24338) = 243291 × 21 × 431 × 2831
LCM(24329,24338) = 592119202
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