What is the Least Common Multiple of 96895 and 96899?
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 96895 and 96899 is 9389028605.
LCM(96895,96899) = 9389028605
Least Common Multiple of 96895 and 96899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96895 and 96899, than apply into the LCM equation.
GCF(96895,96899) = 1
LCM(96895,96899) = ( 96895 × 96899) / 1
LCM(96895,96899) = 9389028605 / 1
LCM(96895,96899) = 9389028605
Least Common Multiple (LCM) of 96895 and 96899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96895 and 96899. First we will calculate the prime factors of 96895 and 96899.
Prime Factorization of 96895
Prime factors of 96895 are 5, 19379. Prime factorization of 96895 in exponential form is:
96895 = 51 × 193791
Prime Factorization of 96899
Prime factors of 96899 are 11, 23, 383. Prime factorization of 96899 in exponential form is:
96899 = 111 × 231 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 96895 and 96899.
LCM(96895,96899) = 51 × 193791 × 111 × 231 × 3831
LCM(96895,96899) = 9389028605
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