What is the Least Common Multiple of 96833 and 96841?
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 96833 and 96841 is 9377404553.
LCM(96833,96841) = 9377404553
Least Common Multiple of 96833 and 96841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96833 and 96841, than apply into the LCM equation.
GCF(96833,96841) = 1
LCM(96833,96841) = ( 96833 × 96841) / 1
LCM(96833,96841) = 9377404553 / 1
LCM(96833,96841) = 9377404553
Least Common Multiple (LCM) of 96833 and 96841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96833 and 96841. First we will calculate the prime factors of 96833 and 96841.
Prime Factorization of 96833
Prime factors of 96833 are 11, 8803. Prime factorization of 96833 in exponential form is:
96833 = 111 × 88031
Prime Factorization of 96841
Prime factors of 96841 are 113, 857. Prime factorization of 96841 in exponential form is:
96841 = 1131 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 96833 and 96841.
LCM(96833,96841) = 111 × 88031 × 1131 × 8571
LCM(96833,96841) = 9377404553
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