What is the Least Common Multiple of 96083 and 96103?
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 96083 and 96103 is 9233864549.
LCM(96083,96103) = 9233864549
Least Common Multiple of 96083 and 96103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96083 and 96103, than apply into the LCM equation.
GCF(96083,96103) = 1
LCM(96083,96103) = ( 96083 × 96103) / 1
LCM(96083,96103) = 9233864549 / 1
LCM(96083,96103) = 9233864549
Least Common Multiple (LCM) of 96083 and 96103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96083 and 96103. First we will calculate the prime factors of 96083 and 96103.
Prime Factorization of 96083
Prime factors of 96083 are 13, 19, 389. Prime factorization of 96083 in exponential form is:
96083 = 131 × 191 × 3891
Prime Factorization of 96103
Prime factors of 96103 are 7, 13729. Prime factorization of 96103 in exponential form is:
96103 = 71 × 137291
Now multiplying the highest exponent prime factors to calculate the LCM of 96083 and 96103.
LCM(96083,96103) = 131 × 191 × 3891 × 71 × 137291
LCM(96083,96103) = 9233864549
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