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What is the Least Common Multiple of 94826 and 94843?

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 94826 and 94843 is 529034254.

LCM(94826,94843) = 529034254

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Least Common Multiple of 94826 and 94843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94826 and 94843, than apply into the LCM equation.

GCF(94826,94843) = 17
LCM(94826,94843) = ( 94826 × 94843) / 17
LCM(94826,94843) = 8993582318 / 17
LCM(94826,94843) = 529034254

Least Common Multiple (LCM) of 94826 and 94843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94826 and 94843. First we will calculate the prime factors of 94826 and 94843.

Prime Factorization of 94826

Prime factors of 94826 are 2, 17, 2789. Prime factorization of 94826 in exponential form is:

94826 = 21 × 171 × 27891

Prime Factorization of 94843

Prime factors of 94843 are 7, 17, 797. Prime factorization of 94843 in exponential form is:

94843 = 71 × 171 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 94826 and 94843.

LCM(94826,94843) = 21 × 171 × 27891 × 71 × 7971
LCM(94826,94843) = 529034254