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What is the Least Common Multiple of 96163 and 96183?

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 96163 and 96183 is 9249245829.

LCM(96163,96183) = 9249245829

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Least Common Multiple of 96163 and 96183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96163 and 96183, than apply into the LCM equation.

GCF(96163,96183) = 1
LCM(96163,96183) = ( 96163 × 96183) / 1
LCM(96163,96183) = 9249245829 / 1
LCM(96163,96183) = 9249245829

Least Common Multiple (LCM) of 96163 and 96183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96163 and 96183. First we will calculate the prime factors of 96163 and 96183.

Prime Factorization of 96163

Prime factors of 96163 are 23, 37, 113. Prime factorization of 96163 in exponential form is:

96163 = 231 × 371 × 1131

Prime Factorization of 96183

Prime factors of 96183 are 3, 10687. Prime factorization of 96183 in exponential form is:

96183 = 32 × 106871

Now multiplying the highest exponent prime factors to calculate the LCM of 96163 and 96183.

LCM(96163,96183) = 231 × 371 × 1131 × 32 × 106871
LCM(96163,96183) = 9249245829