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What is the Least Common Multiple of 94794 and 94803?

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 94794 and 94803 is 2995585194.

LCM(94794,94803) = 2995585194

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Least Common Multiple of 94794 and 94803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94794 and 94803, than apply into the LCM equation.

GCF(94794,94803) = 3
LCM(94794,94803) = ( 94794 × 94803) / 3
LCM(94794,94803) = 8986755582 / 3
LCM(94794,94803) = 2995585194

Least Common Multiple (LCM) of 94794 and 94803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94794 and 94803. First we will calculate the prime factors of 94794 and 94803.

Prime Factorization of 94794

Prime factors of 94794 are 2, 3, 7, 37, 61. Prime factorization of 94794 in exponential form is:

94794 = 21 × 31 × 71 × 371 × 611

Prime Factorization of 94803

Prime factors of 94803 are 3, 31601. Prime factorization of 94803 in exponential form is:

94803 = 31 × 316011

Now multiplying the highest exponent prime factors to calculate the LCM of 94794 and 94803.

LCM(94794,94803) = 21 × 31 × 71 × 371 × 611 × 316011
LCM(94794,94803) = 2995585194