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What is the Least Common Multiple of 94167 and 94176?

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 94167 and 94176 is 985363488.

LCM(94167,94176) = 985363488

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Least Common Multiple of 94167 and 94176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94167 and 94176, than apply into the LCM equation.

GCF(94167,94176) = 9
LCM(94167,94176) = ( 94167 × 94176) / 9
LCM(94167,94176) = 8868271392 / 9
LCM(94167,94176) = 985363488

Least Common Multiple (LCM) of 94167 and 94176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94167 and 94176. First we will calculate the prime factors of 94167 and 94176.

Prime Factorization of 94167

Prime factors of 94167 are 3, 10463. Prime factorization of 94167 in exponential form is:

94167 = 32 × 104631

Prime Factorization of 94176

Prime factors of 94176 are 2, 3, 109. Prime factorization of 94176 in exponential form is:

94176 = 25 × 33 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 94167 and 94176.

LCM(94167,94176) = 33 × 104631 × 25 × 1091
LCM(94167,94176) = 985363488