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What is the Least Common Multiple of 94143 and 94162?

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 94143 and 94162 is 8864693166.

LCM(94143,94162) = 8864693166

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Least Common Multiple of 94143 and 94162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94143 and 94162, than apply into the LCM equation.

GCF(94143,94162) = 1
LCM(94143,94162) = ( 94143 × 94162) / 1
LCM(94143,94162) = 8864693166 / 1
LCM(94143,94162) = 8864693166

Least Common Multiple (LCM) of 94143 and 94162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94143 and 94162. First we will calculate the prime factors of 94143 and 94162.

Prime Factorization of 94143

Prime factors of 94143 are 3, 7, 4483. Prime factorization of 94143 in exponential form is:

94143 = 31 × 71 × 44831

Prime Factorization of 94162

Prime factors of 94162 are 2, 23, 89. Prime factorization of 94162 in exponential form is:

94162 = 21 × 232 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 94143 and 94162.

LCM(94143,94162) = 31 × 71 × 44831 × 21 × 232 × 891
LCM(94143,94162) = 8864693166