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What is the Least Common Multiple of 94743 and 94747?

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 94743 and 94747 is 8976615021.

LCM(94743,94747) = 8976615021

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Least Common Multiple of 94743 and 94747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94743 and 94747, than apply into the LCM equation.

GCF(94743,94747) = 1
LCM(94743,94747) = ( 94743 × 94747) / 1
LCM(94743,94747) = 8976615021 / 1
LCM(94743,94747) = 8976615021

Least Common Multiple (LCM) of 94743 and 94747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94743 and 94747. First we will calculate the prime factors of 94743 and 94747.

Prime Factorization of 94743

Prime factors of 94743 are 3, 11, 29. Prime factorization of 94743 in exponential form is:

94743 = 33 × 112 × 291

Prime Factorization of 94747

Prime factors of 94747 are 94747. Prime factorization of 94747 in exponential form is:

94747 = 947471

Now multiplying the highest exponent prime factors to calculate the LCM of 94743 and 94747.

LCM(94743,94747) = 33 × 112 × 291 × 947471
LCM(94743,94747) = 8976615021