What is the Least Common Multiple of 96400 and 96405?
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 96400 and 96405 is 1858688400.
LCM(96400,96405) = 1858688400
Least Common Multiple of 96400 and 96405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96400 and 96405, than apply into the LCM equation.
GCF(96400,96405) = 5
LCM(96400,96405) = ( 96400 × 96405) / 5
LCM(96400,96405) = 9293442000 / 5
LCM(96400,96405) = 1858688400
Least Common Multiple (LCM) of 96400 and 96405 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96400 and 96405. First we will calculate the prime factors of 96400 and 96405.
Prime Factorization of 96400
Prime factors of 96400 are 2, 5, 241. Prime factorization of 96400 in exponential form is:
96400 = 24 × 52 × 2411
Prime Factorization of 96405
Prime factors of 96405 are 3, 5, 6427. Prime factorization of 96405 in exponential form is:
96405 = 31 × 51 × 64271
Now multiplying the highest exponent prime factors to calculate the LCM of 96400 and 96405.
LCM(96400,96405) = 24 × 52 × 2411 × 31 × 64271
LCM(96400,96405) = 1858688400
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