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What is the Least Common Multiple of 94143 and 94152?

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 94152 is 2954583912.

LCM(94143,94152) = 2954583912

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Least Common Multiple of 94143 and 94152 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 94152, than apply into the LCM equation.

GCF(94143,94152) = 3
LCM(94143,94152) = ( 94143 × 94152) / 3
LCM(94143,94152) = 8863751736 / 3
LCM(94143,94152) = 2954583912

Least Common Multiple (LCM) of 94143 and 94152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94143 and 94152. First we will calculate the prime factors of 94143 and 94152.

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 94152

Prime factors of 94152 are 2, 3, 3923. Prime factorization of 94152 in exponential form is:

94152 = 23 × 31 × 39231

Now multiplying the highest exponent prime factors to calculate the LCM of 94143 and 94152.

LCM(94143,94152) = 31 × 71 × 44831 × 23 × 39231
LCM(94143,94152) = 2954583912