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What is the Least Common Multiple of 94815 and 94826?

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 94815 and 94826 is 8990927190.

LCM(94815,94826) = 8990927190

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Least Common Multiple of 94815 and 94826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94815 and 94826, than apply into the LCM equation.

GCF(94815,94826) = 1
LCM(94815,94826) = ( 94815 × 94826) / 1
LCM(94815,94826) = 8990927190 / 1
LCM(94815,94826) = 8990927190

Least Common Multiple (LCM) of 94815 and 94826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94815 and 94826. First we will calculate the prime factors of 94815 and 94826.

Prime Factorization of 94815

Prime factors of 94815 are 3, 5, 7, 43. Prime factorization of 94815 in exponential form is:

94815 = 32 × 51 × 72 × 431

Prime Factorization of 94826

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

94826 = 21 × 171 × 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 94815 and 94826.

LCM(94815,94826) = 32 × 51 × 72 × 431 × 21 × 171 × 27891
LCM(94815,94826) = 8990927190