What is the Least Common Multiple of 4386 and 4405?
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 4386 and 4405 is 19320330.
LCM(4386,4405) = 19320330
Least Common Multiple of 4386 and 4405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4386 and 4405, than apply into the LCM equation.
GCF(4386,4405) = 1
LCM(4386,4405) = ( 4386 × 4405) / 1
LCM(4386,4405) = 19320330 / 1
LCM(4386,4405) = 19320330
Least Common Multiple (LCM) of 4386 and 4405 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4386 and 4405. First we will calculate the prime factors of 4386 and 4405.
Prime Factorization of 4386
Prime factors of 4386 are 2, 3, 17, 43. Prime factorization of 4386 in exponential form is:
4386 = 21 × 31 × 171 × 431
Prime Factorization of 4405
Prime factors of 4405 are 5, 881. Prime factorization of 4405 in exponential form is:
4405 = 51 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 4386 and 4405.
LCM(4386,4405) = 21 × 31 × 171 × 431 × 51 × 8811
LCM(4386,4405) = 19320330
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