What is the Least Common Multiple of 96831 and 96848?
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 96831 and 96848 is 9377888688.
LCM(96831,96848) = 9377888688
Least Common Multiple of 96831 and 96848 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96831 and 96848, than apply into the LCM equation.
GCF(96831,96848) = 1
LCM(96831,96848) = ( 96831 × 96848) / 1
LCM(96831,96848) = 9377888688 / 1
LCM(96831,96848) = 9377888688
Least Common Multiple (LCM) of 96831 and 96848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96831 and 96848. First we will calculate the prime factors of 96831 and 96848.
Prime Factorization of 96831
Prime factors of 96831 are 3, 7, 29, 53. Prime factorization of 96831 in exponential form is:
96831 = 32 × 71 × 291 × 531
Prime Factorization of 96848
Prime factors of 96848 are 2, 6053. Prime factorization of 96848 in exponential form is:
96848 = 24 × 60531
Now multiplying the highest exponent prime factors to calculate the LCM of 96831 and 96848.
LCM(96831,96848) = 32 × 71 × 291 × 531 × 24 × 60531
LCM(96831,96848) = 9377888688
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