What is the Least Common Multiple of 63515 and 63531?
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 63515 and 63531 is 4035171465.
LCM(63515,63531) = 4035171465
Least Common Multiple of 63515 and 63531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63515 and 63531, than apply into the LCM equation.
GCF(63515,63531) = 1
LCM(63515,63531) = ( 63515 × 63531) / 1
LCM(63515,63531) = 4035171465 / 1
LCM(63515,63531) = 4035171465
Least Common Multiple (LCM) of 63515 and 63531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63515 and 63531. First we will calculate the prime factors of 63515 and 63531.
Prime Factorization of 63515
Prime factors of 63515 are 5, 12703. Prime factorization of 63515 in exponential form is:
63515 = 51 × 127031
Prime Factorization of 63531
Prime factors of 63531 are 3, 13, 181. Prime factorization of 63531 in exponential form is:
63531 = 33 × 131 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 63515 and 63531.
LCM(63515,63531) = 51 × 127031 × 33 × 131 × 1811
LCM(63515,63531) = 4035171465
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