What is the Least Common Multiple of 4382 and 4386?
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 4382 and 4386 is 9609726.
LCM(4382,4386) = 9609726
Least Common Multiple of 4382 and 4386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4382 and 4386, than apply into the LCM equation.
GCF(4382,4386) = 2
LCM(4382,4386) = ( 4382 × 4386) / 2
LCM(4382,4386) = 19219452 / 2
LCM(4382,4386) = 9609726
Least Common Multiple (LCM) of 4382 and 4386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4382 and 4386. First we will calculate the prime factors of 4382 and 4386.
Prime Factorization of 4382
Prime factors of 4382 are 2, 7, 313. Prime factorization of 4382 in exponential form is:
4382 = 21 × 71 × 3131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4382 and 4386.
LCM(4382,4386) = 21 × 71 × 3131 × 31 × 171 × 431
LCM(4382,4386) = 9609726
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