What is the Least Common Multiple of 4334 and 4343?
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 4334 and 4343 is 18822562.
LCM(4334,4343) = 18822562
Least Common Multiple of 4334 and 4343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4334 and 4343, than apply into the LCM equation.
GCF(4334,4343) = 1
LCM(4334,4343) = ( 4334 × 4343) / 1
LCM(4334,4343) = 18822562 / 1
LCM(4334,4343) = 18822562
Least Common Multiple (LCM) of 4334 and 4343 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4334 and 4343. First we will calculate the prime factors of 4334 and 4343.
Prime Factorization of 4334
Prime factors of 4334 are 2, 11, 197. Prime factorization of 4334 in exponential form is:
4334 = 21 × 111 × 1971
Prime Factorization of 4343
Prime factors of 4343 are 43, 101. Prime factorization of 4343 in exponential form is:
4343 = 431 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 4334 and 4343.
LCM(4334,4343) = 21 × 111 × 1971 × 431 × 1011
LCM(4334,4343) = 18822562
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