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What is the Least Common Multiple of 96167 and 96178?

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 96167 and 96178 is 9249149726.

LCM(96167,96178) = 9249149726

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Least Common Multiple of 96167 and 96178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96167 and 96178, than apply into the LCM equation.

GCF(96167,96178) = 1
LCM(96167,96178) = ( 96167 × 96178) / 1
LCM(96167,96178) = 9249149726 / 1
LCM(96167,96178) = 9249149726

Least Common Multiple (LCM) of 96167 and 96178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96167 and 96178. First we will calculate the prime factors of 96167 and 96178.

Prime Factorization of 96167

Prime factors of 96167 are 96167. Prime factorization of 96167 in exponential form is:

96167 = 961671

Prime Factorization of 96178

Prime factors of 96178 are 2, 19, 2531. Prime factorization of 96178 in exponential form is:

96178 = 21 × 191 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 96167 and 96178.

LCM(96167,96178) = 961671 × 21 × 191 × 25311
LCM(96167,96178) = 9249149726