What is the Least Common Multiple of 96383 and 96403?
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 96383 and 96403 is 9291610349.
LCM(96383,96403) = 9291610349
Least Common Multiple of 96383 and 96403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96383 and 96403, than apply into the LCM equation.
GCF(96383,96403) = 1
LCM(96383,96403) = ( 96383 × 96403) / 1
LCM(96383,96403) = 9291610349 / 1
LCM(96383,96403) = 9291610349
Least Common Multiple (LCM) of 96383 and 96403 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96383 and 96403. First we will calculate the prime factors of 96383 and 96403.
Prime Factorization of 96383
Prime factors of 96383 are 7, 281. Prime factorization of 96383 in exponential form is:
96383 = 73 × 2811
Prime Factorization of 96403
Prime factors of 96403 are 149, 647. Prime factorization of 96403 in exponential form is:
96403 = 1491 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 96383 and 96403.
LCM(96383,96403) = 73 × 2811 × 1491 × 6471
LCM(96383,96403) = 9291610349
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