What is the Least Common Multiple of 80363 and 80375?
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 80363 and 80375 is 6459176125.
LCM(80363,80375) = 6459176125
Least Common Multiple of 80363 and 80375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80363 and 80375, than apply into the LCM equation.
GCF(80363,80375) = 1
LCM(80363,80375) = ( 80363 × 80375) / 1
LCM(80363,80375) = 6459176125 / 1
LCM(80363,80375) = 6459176125
Least Common Multiple (LCM) of 80363 and 80375 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80363 and 80375. First we will calculate the prime factors of 80363 and 80375.
Prime Factorization of 80363
Prime factors of 80363 are 80363. Prime factorization of 80363 in exponential form is:
80363 = 803631
Prime Factorization of 80375
Prime factors of 80375 are 5, 643. Prime factorization of 80375 in exponential form is:
80375 = 53 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 80363 and 80375.
LCM(80363,80375) = 803631 × 53 × 6431
LCM(80363,80375) = 6459176125
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