What is the Least Common Multiple of 96392 and 96397?
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 96392 and 96397 is 9291899624.
LCM(96392,96397) = 9291899624
Least Common Multiple of 96392 and 96397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96392 and 96397, than apply into the LCM equation.
GCF(96392,96397) = 1
LCM(96392,96397) = ( 96392 × 96397) / 1
LCM(96392,96397) = 9291899624 / 1
LCM(96392,96397) = 9291899624
Least Common Multiple (LCM) of 96392 and 96397 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96392 and 96397. First we will calculate the prime factors of 96392 and 96397.
Prime Factorization of 96392
Prime factors of 96392 are 2, 12049. Prime factorization of 96392 in exponential form is:
96392 = 23 × 120491
Prime Factorization of 96397
Prime factors of 96397 are 7, 47, 293. Prime factorization of 96397 in exponential form is:
96397 = 71 × 471 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 96392 and 96397.
LCM(96392,96397) = 23 × 120491 × 71 × 471 × 2931
LCM(96392,96397) = 9291899624
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