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What is the Least Common Multiple of 96163 and 96172?

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 96172 is 9248188036.

LCM(96163,96172) = 9248188036

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Least Common Multiple of 96163 and 96172 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 96172, than apply into the LCM equation.

GCF(96163,96172) = 1
LCM(96163,96172) = ( 96163 × 96172) / 1
LCM(96163,96172) = 9248188036 / 1
LCM(96163,96172) = 9248188036

Least Common Multiple (LCM) of 96163 and 96172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96163 and 96172. First we will calculate the prime factors of 96163 and 96172.

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 96172

Prime factors of 96172 are 2, 24043. Prime factorization of 96172 in exponential form is:

96172 = 22 × 240431

Now multiplying the highest exponent prime factors to calculate the LCM of 96163 and 96172.

LCM(96163,96172) = 231 × 371 × 1131 × 22 × 240431
LCM(96163,96172) = 9248188036