What is the Least Common Multiple of 63555 and 63559?
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 63555 and 63559 is 4039492245.
LCM(63555,63559) = 4039492245
Least Common Multiple of 63555 and 63559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63555 and 63559, than apply into the LCM equation.
GCF(63555,63559) = 1
LCM(63555,63559) = ( 63555 × 63559) / 1
LCM(63555,63559) = 4039492245 / 1
LCM(63555,63559) = 4039492245
Least Common Multiple (LCM) of 63555 and 63559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63555 and 63559. First we will calculate the prime factors of 63555 and 63559.
Prime Factorization of 63555
Prime factors of 63555 are 3, 5, 19, 223. Prime factorization of 63555 in exponential form is:
63555 = 31 × 51 × 191 × 2231
Prime Factorization of 63559
Prime factors of 63559 are 63559. Prime factorization of 63559 in exponential form is:
63559 = 635591
Now multiplying the highest exponent prime factors to calculate the LCM of 63555 and 63559.
LCM(63555,63559) = 31 × 51 × 191 × 2231 × 635591
LCM(63555,63559) = 4039492245
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