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What is the Least Common Multiple of 94826 and 94837?

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 94837 is 8993013362.

LCM(94826,94837) = 8993013362

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Least Common Multiple of 94826 and 94837 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 94837, than apply into the LCM equation.

GCF(94826,94837) = 1
LCM(94826,94837) = ( 94826 × 94837) / 1
LCM(94826,94837) = 8993013362 / 1
LCM(94826,94837) = 8993013362

Least Common Multiple (LCM) of 94826 and 94837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94826 and 94837. First we will calculate the prime factors of 94826 and 94837.

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 94837

Prime factors of 94837 are 94837. Prime factorization of 94837 in exponential form is:

94837 = 948371

Now multiplying the highest exponent prime factors to calculate the LCM of 94826 and 94837.

LCM(94826,94837) = 21 × 171 × 27891 × 948371
LCM(94826,94837) = 8993013362