What is the Least Common Multiple of 63838 and 63843?
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 63838 and 63843 is 4075609434.
LCM(63838,63843) = 4075609434
Least Common Multiple of 63838 and 63843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63838 and 63843, than apply into the LCM equation.
GCF(63838,63843) = 1
LCM(63838,63843) = ( 63838 × 63843) / 1
LCM(63838,63843) = 4075609434 / 1
LCM(63838,63843) = 4075609434
Least Common Multiple (LCM) of 63838 and 63843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63838 and 63843. First we will calculate the prime factors of 63838 and 63843.
Prime Factorization of 63838
Prime factors of 63838 are 2, 59, 541. Prime factorization of 63838 in exponential form is:
63838 = 21 × 591 × 5411
Prime Factorization of 63843
Prime factors of 63843 are 3, 13, 1637. Prime factorization of 63843 in exponential form is:
63843 = 31 × 131 × 16371
Now multiplying the highest exponent prime factors to calculate the LCM of 63838 and 63843.
LCM(63838,63843) = 21 × 591 × 5411 × 31 × 131 × 16371
LCM(63838,63843) = 4075609434
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