What is the Least Common Multiple of 96544 and 96554?
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 96544 and 96554 is 4660854688.
LCM(96544,96554) = 4660854688
Least Common Multiple of 96544 and 96554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96544 and 96554, than apply into the LCM equation.
GCF(96544,96554) = 2
LCM(96544,96554) = ( 96544 × 96554) / 2
LCM(96544,96554) = 9321709376 / 2
LCM(96544,96554) = 4660854688
Least Common Multiple (LCM) of 96544 and 96554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96544 and 96554. First we will calculate the prime factors of 96544 and 96554.
Prime Factorization of 96544
Prime factors of 96544 are 2, 7, 431. Prime factorization of 96544 in exponential form is:
96544 = 25 × 71 × 4311
Prime Factorization of 96554
Prime factors of 96554 are 2, 23, 2099. Prime factorization of 96554 in exponential form is:
96554 = 21 × 231 × 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 96544 and 96554.
LCM(96544,96554) = 25 × 71 × 4311 × 231 × 20991
LCM(96544,96554) = 4660854688
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