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What is the Least Common Multiple of 94743 and 94754?

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 94754 is 816116202.

LCM(94743,94754) = 816116202

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Least Common Multiple of 94743 and 94754 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 94754, than apply into the LCM equation.

GCF(94743,94754) = 11
LCM(94743,94754) = ( 94743 × 94754) / 11
LCM(94743,94754) = 8977278222 / 11
LCM(94743,94754) = 816116202

Least Common Multiple (LCM) of 94743 and 94754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94743 and 94754. First we will calculate the prime factors of 94743 and 94754.

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 94754

Prime factors of 94754 are 2, 11, 59, 73. Prime factorization of 94754 in exponential form is:

94754 = 21 × 111 × 591 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 94743 and 94754.

LCM(94743,94754) = 33 × 112 × 291 × 21 × 591 × 731
LCM(94743,94754) = 816116202