What is the Least Common Multiple of 83863 and 83879?
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 83863 and 83879 is 7034344577.
LCM(83863,83879) = 7034344577
Least Common Multiple of 83863 and 83879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83863 and 83879, than apply into the LCM equation.
GCF(83863,83879) = 1
LCM(83863,83879) = ( 83863 × 83879) / 1
LCM(83863,83879) = 7034344577 / 1
LCM(83863,83879) = 7034344577
Least Common Multiple (LCM) of 83863 and 83879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83863 and 83879. First we will calculate the prime factors of 83863 and 83879.
Prime Factorization of 83863
Prime factors of 83863 are 13, 6451. Prime factorization of 83863 in exponential form is:
83863 = 131 × 64511
Prime Factorization of 83879
Prime factors of 83879 are 37, 2267. Prime factorization of 83879 in exponential form is:
83879 = 371 × 22671
Now multiplying the highest exponent prime factors to calculate the LCM of 83863 and 83879.
LCM(83863,83879) = 131 × 64511 × 371 × 22671
LCM(83863,83879) = 7034344577
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