What is the Least Common Multiple of 63848 and 63860?
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 63860 is 1019333320.
LCM(63848,63860) = 1019333320
Least Common Multiple of 63848 and 63860 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 63860, than apply into the LCM equation.
GCF(63848,63860) = 4
LCM(63848,63860) = ( 63848 × 63860) / 4
LCM(63848,63860) = 4077333280 / 4
LCM(63848,63860) = 1019333320
Least Common Multiple (LCM) of 63848 and 63860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63848 and 63860. First we will calculate the prime factors of 63848 and 63860.
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 63860
Prime factors of 63860 are 2, 5, 31, 103. Prime factorization of 63860 in exponential form is:
63860 = 22 × 51 × 311 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 63848 and 63860.
LCM(63848,63860) = 23 × 231 × 3471 × 51 × 311 × 1031
LCM(63848,63860) = 1019333320
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