What is the Least Common Multiple of 63848 and 63854?
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 63848 and 63854 is 2038475096.
LCM(63848,63854) = 2038475096
Least Common Multiple of 63848 and 63854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63848 and 63854, than apply into the LCM equation.
GCF(63848,63854) = 2
LCM(63848,63854) = ( 63848 × 63854) / 2
LCM(63848,63854) = 4076950192 / 2
LCM(63848,63854) = 2038475096
Least Common Multiple (LCM) of 63848 and 63854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63848 and 63854. First we will calculate the prime factors of 63848 and 63854.
Prime Factorization of 63848
Prime factors of 63848 are 2, 23, 347. Prime factorization of 63848 in exponential form is:
63848 = 23 × 231 × 3471
Prime Factorization of 63854
Prime factors of 63854 are 2, 7, 4561. Prime factorization of 63854 in exponential form is:
63854 = 21 × 71 × 45611
Now multiplying the highest exponent prime factors to calculate the LCM of 63848 and 63854.
LCM(63848,63854) = 23 × 231 × 3471 × 71 × 45611
LCM(63848,63854) = 2038475096
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