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What is the Least Common Multiple of 94802 and 94819?

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 94802 and 94819 is 8989030838.

LCM(94802,94819) = 8989030838

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Least Common Multiple of 94802 and 94819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94802 and 94819, than apply into the LCM equation.

GCF(94802,94819) = 1
LCM(94802,94819) = ( 94802 × 94819) / 1
LCM(94802,94819) = 8989030838 / 1
LCM(94802,94819) = 8989030838

Least Common Multiple (LCM) of 94802 and 94819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94802 and 94819. First we will calculate the prime factors of 94802 and 94819.

Prime Factorization of 94802

Prime factors of 94802 are 2, 107, 443. Prime factorization of 94802 in exponential form is:

94802 = 21 × 1071 × 4431

Prime Factorization of 94819

Prime factors of 94819 are 94819. Prime factorization of 94819 in exponential form is:

94819 = 948191

Now multiplying the highest exponent prime factors to calculate the LCM of 94802 and 94819.

LCM(94802,94819) = 21 × 1071 × 4431 × 948191
LCM(94802,94819) = 8989030838