What is the Least Common Multiple of 4359 and 4367?
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 4359 and 4367 is 19035753.
LCM(4359,4367) = 19035753
Least Common Multiple of 4359 and 4367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4359 and 4367, than apply into the LCM equation.
GCF(4359,4367) = 1
LCM(4359,4367) = ( 4359 × 4367) / 1
LCM(4359,4367) = 19035753 / 1
LCM(4359,4367) = 19035753
Least Common Multiple (LCM) of 4359 and 4367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4359 and 4367. First we will calculate the prime factors of 4359 and 4367.
Prime Factorization of 4359
Prime factors of 4359 are 3, 1453. Prime factorization of 4359 in exponential form is:
4359 = 31 × 14531
Prime Factorization of 4367
Prime factors of 4367 are 11, 397. Prime factorization of 4367 in exponential form is:
4367 = 111 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 4359 and 4367.
LCM(4359,4367) = 31 × 14531 × 111 × 3971
LCM(4359,4367) = 19035753
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