What is the Least Common Multiple of 96403 and 96418?
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 96403 and 96418 is 9294984454.
LCM(96403,96418) = 9294984454
Least Common Multiple of 96403 and 96418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96403 and 96418, than apply into the LCM equation.
GCF(96403,96418) = 1
LCM(96403,96418) = ( 96403 × 96418) / 1
LCM(96403,96418) = 9294984454 / 1
LCM(96403,96418) = 9294984454
Least Common Multiple (LCM) of 96403 and 96418 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96403 and 96418. First we will calculate the prime factors of 96403 and 96418.
Prime Factorization of 96403
Prime factors of 96403 are 149, 647. Prime factorization of 96403 in exponential form is:
96403 = 1491 × 6471
Prime Factorization of 96418
Prime factors of 96418 are 2, 7, 71, 97. Prime factorization of 96418 in exponential form is:
96418 = 21 × 71 × 711 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 96403 and 96418.
LCM(96403,96418) = 1491 × 6471 × 21 × 71 × 711 × 971
LCM(96403,96418) = 9294984454
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