What is the Least Common Multiple of 4359 and 4377?
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 4377 is 6359781.
LCM(4359,4377) = 6359781
Least Common Multiple of 4359 and 4377 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 4377, than apply into the LCM equation.
GCF(4359,4377) = 3
LCM(4359,4377) = ( 4359 × 4377) / 3
LCM(4359,4377) = 19079343 / 3
LCM(4359,4377) = 6359781
Least Common Multiple (LCM) of 4359 and 4377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4359 and 4377. First we will calculate the prime factors of 4359 and 4377.
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 4377
Prime factors of 4377 are 3, 1459. Prime factorization of 4377 in exponential form is:
4377 = 31 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 4359 and 4377.
LCM(4359,4377) = 31 × 14531 × 14591
LCM(4359,4377) = 6359781
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