What is the Least Common Multiple of 63369 and 63386?
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 63369 and 63386 is 4016707434.
LCM(63369,63386) = 4016707434
Least Common Multiple of 63369 and 63386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63369 and 63386, than apply into the LCM equation.
GCF(63369,63386) = 1
LCM(63369,63386) = ( 63369 × 63386) / 1
LCM(63369,63386) = 4016707434 / 1
LCM(63369,63386) = 4016707434
Least Common Multiple (LCM) of 63369 and 63386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63369 and 63386. First we will calculate the prime factors of 63369 and 63386.
Prime Factorization of 63369
Prime factors of 63369 are 3, 2347. Prime factorization of 63369 in exponential form is:
63369 = 33 × 23471
Prime Factorization of 63386
Prime factors of 63386 are 2, 41, 773. Prime factorization of 63386 in exponential form is:
63386 = 21 × 411 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 63369 and 63386.
LCM(63369,63386) = 33 × 23471 × 21 × 411 × 7731
LCM(63369,63386) = 4016707434
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