What is the Least Common Multiple of 96578 and 96584?
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 96578 and 96584 is 4663944776.
LCM(96578,96584) = 4663944776
Least Common Multiple of 96578 and 96584 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96578 and 96584, than apply into the LCM equation.
GCF(96578,96584) = 2
LCM(96578,96584) = ( 96578 × 96584) / 2
LCM(96578,96584) = 9327889552 / 2
LCM(96578,96584) = 4663944776
Least Common Multiple (LCM) of 96578 and 96584 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96578 and 96584. First we will calculate the prime factors of 96578 and 96584.
Prime Factorization of 96578
Prime factors of 96578 are 2, 43, 1123. Prime factorization of 96578 in exponential form is:
96578 = 21 × 431 × 11231
Prime Factorization of 96584
Prime factors of 96584 are 2, 12073. Prime factorization of 96584 in exponential form is:
96584 = 23 × 120731
Now multiplying the highest exponent prime factors to calculate the LCM of 96578 and 96584.
LCM(96578,96584) = 23 × 431 × 11231 × 120731
LCM(96578,96584) = 4663944776
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