What is the Least Common Multiple of 96031 and 96035?
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 96031 and 96035 is 9222337085.
LCM(96031,96035) = 9222337085
Least Common Multiple of 96031 and 96035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96031 and 96035, than apply into the LCM equation.
GCF(96031,96035) = 1
LCM(96031,96035) = ( 96031 × 96035) / 1
LCM(96031,96035) = 9222337085 / 1
LCM(96031,96035) = 9222337085
Least Common Multiple (LCM) of 96031 and 96035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96031 and 96035. First we will calculate the prime factors of 96031 and 96035.
Prime Factorization of 96031
Prime factors of 96031 are 13, 83, 89. Prime factorization of 96031 in exponential form is:
96031 = 131 × 831 × 891
Prime Factorization of 96035
Prime factors of 96035 are 5, 19207. Prime factorization of 96035 in exponential form is:
96035 = 51 × 192071
Now multiplying the highest exponent prime factors to calculate the LCM of 96031 and 96035.
LCM(96031,96035) = 131 × 831 × 891 × 51 × 192071
LCM(96031,96035) = 9222337085
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