What is the Least Common Multiple of 63728 and 63738?
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 63728 and 63738 is 2030947632.
LCM(63728,63738) = 2030947632
Least Common Multiple of 63728 and 63738 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63728 and 63738, than apply into the LCM equation.
GCF(63728,63738) = 2
LCM(63728,63738) = ( 63728 × 63738) / 2
LCM(63728,63738) = 4061895264 / 2
LCM(63728,63738) = 2030947632
Least Common Multiple (LCM) of 63728 and 63738 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63728 and 63738. First we will calculate the prime factors of 63728 and 63738.
Prime Factorization of 63728
Prime factors of 63728 are 2, 7, 569. Prime factorization of 63728 in exponential form is:
63728 = 24 × 71 × 5691
Prime Factorization of 63738
Prime factors of 63738 are 2, 3, 3541. Prime factorization of 63738 in exponential form is:
63738 = 21 × 32 × 35411
Now multiplying the highest exponent prime factors to calculate the LCM of 63728 and 63738.
LCM(63728,63738) = 24 × 71 × 5691 × 32 × 35411
LCM(63728,63738) = 2030947632
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