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What is the Least Common Multiple of 96163 and 96182?

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 96182 is 9249149666.

LCM(96163,96182) = 9249149666

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Least Common Multiple of 96163 and 96182 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 96182, than apply into the LCM equation.

GCF(96163,96182) = 1
LCM(96163,96182) = ( 96163 × 96182) / 1
LCM(96163,96182) = 9249149666 / 1
LCM(96163,96182) = 9249149666

Least Common Multiple (LCM) of 96163 and 96182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96163 and 96182. First we will calculate the prime factors of 96163 and 96182.

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 96182

Prime factors of 96182 are 2, 48091. Prime factorization of 96182 in exponential form is:

96182 = 21 × 480911

Now multiplying the highest exponent prime factors to calculate the LCM of 96163 and 96182.

LCM(96163,96182) = 231 × 371 × 1131 × 21 × 480911
LCM(96163,96182) = 9249149666