What is the Least Common Multiple of 95984 and 96000?
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 95984 and 96000 is 575904000.
LCM(95984,96000) = 575904000
Least Common Multiple of 95984 and 96000 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95984 and 96000, than apply into the LCM equation.
GCF(95984,96000) = 16
LCM(95984,96000) = ( 95984 × 96000) / 16
LCM(95984,96000) = 9214464000 / 16
LCM(95984,96000) = 575904000
Least Common Multiple (LCM) of 95984 and 96000 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95984 and 96000. First we will calculate the prime factors of 95984 and 96000.
Prime Factorization of 95984
Prime factors of 95984 are 2, 7, 857. Prime factorization of 95984 in exponential form is:
95984 = 24 × 71 × 8571
Prime Factorization of 96000
Prime factors of 96000 are 2, 3, 5. Prime factorization of 96000 in exponential form is:
96000 = 28 × 31 × 53
Now multiplying the highest exponent prime factors to calculate the LCM of 95984 and 96000.
LCM(95984,96000) = 28 × 71 × 8571 × 31 × 53
LCM(95984,96000) = 575904000
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