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What is the Least Common Multiple of 94794 and 94805?

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 94805 is 8986945170.

LCM(94794,94805) = 8986945170

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Least Common Multiple of 94794 and 94805 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 94805, than apply into the LCM equation.

GCF(94794,94805) = 1
LCM(94794,94805) = ( 94794 × 94805) / 1
LCM(94794,94805) = 8986945170 / 1
LCM(94794,94805) = 8986945170

Least Common Multiple (LCM) of 94794 and 94805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94794 and 94805. First we will calculate the prime factors of 94794 and 94805.

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 94805

Prime factors of 94805 are 5, 67, 283. Prime factorization of 94805 in exponential form is:

94805 = 51 × 671 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 94794 and 94805.

LCM(94794,94805) = 21 × 31 × 71 × 371 × 611 × 51 × 671 × 2831
LCM(94794,94805) = 8986945170