What is the Least Common Multiple of 96511 and 96519?
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 96511 and 96519 is 9315145209.
LCM(96511,96519) = 9315145209
Least Common Multiple of 96511 and 96519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96511 and 96519, than apply into the LCM equation.
GCF(96511,96519) = 1
LCM(96511,96519) = ( 96511 × 96519) / 1
LCM(96511,96519) = 9315145209 / 1
LCM(96511,96519) = 9315145209
Least Common Multiple (LCM) of 96511 and 96519 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96511 and 96519. First we will calculate the prime factors of 96511 and 96519.
Prime Factorization of 96511
Prime factors of 96511 are 103, 937. Prime factorization of 96511 in exponential form is:
96511 = 1031 × 9371
Prime Factorization of 96519
Prime factors of 96519 are 3, 32173. Prime factorization of 96519 in exponential form is:
96519 = 31 × 321731
Now multiplying the highest exponent prime factors to calculate the LCM of 96511 and 96519.
LCM(96511,96519) = 1031 × 9371 × 31 × 321731
LCM(96511,96519) = 9315145209
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