What is the Least Common Multiple of 63838 and 63853?
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 63853 is 4076247814.
LCM(63838,63853) = 4076247814
Least Common Multiple of 63838 and 63853 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 63853, than apply into the LCM equation.
GCF(63838,63853) = 1
LCM(63838,63853) = ( 63838 × 63853) / 1
LCM(63838,63853) = 4076247814 / 1
LCM(63838,63853) = 4076247814
Least Common Multiple (LCM) of 63838 and 63853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63838 and 63853. First we will calculate the prime factors of 63838 and 63853.
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 63853
Prime factors of 63853 are 63853. Prime factorization of 63853 in exponential form is:
63853 = 638531
Now multiplying the highest exponent prime factors to calculate the LCM of 63838 and 63853.
LCM(63838,63853) = 21 × 591 × 5411 × 638531
LCM(63838,63853) = 4076247814
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