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What is the Least Common Multiple of 94696 and 94703?

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 94696 and 94703 is 1281142184.

LCM(94696,94703) = 1281142184

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Least Common Multiple of 94696 and 94703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94696 and 94703, than apply into the LCM equation.

GCF(94696,94703) = 7
LCM(94696,94703) = ( 94696 × 94703) / 7
LCM(94696,94703) = 8967995288 / 7
LCM(94696,94703) = 1281142184

Least Common Multiple (LCM) of 94696 and 94703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94696 and 94703. First we will calculate the prime factors of 94696 and 94703.

Prime Factorization of 94696

Prime factors of 94696 are 2, 7, 19, 89. Prime factorization of 94696 in exponential form is:

94696 = 23 × 71 × 191 × 891

Prime Factorization of 94703

Prime factors of 94703 are 7, 83, 163. Prime factorization of 94703 in exponential form is:

94703 = 71 × 831 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 94696 and 94703.

LCM(94696,94703) = 23 × 71 × 191 × 891 × 831 × 1631
LCM(94696,94703) = 1281142184