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What is the Least Common Multiple of 94919 and 94923?

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 94919 and 94923 is 9009996237.

LCM(94919,94923) = 9009996237

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Least Common Multiple of 94919 and 94923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94919 and 94923, than apply into the LCM equation.

GCF(94919,94923) = 1
LCM(94919,94923) = ( 94919 × 94923) / 1
LCM(94919,94923) = 9009996237 / 1
LCM(94919,94923) = 9009996237

Least Common Multiple (LCM) of 94919 and 94923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94919 and 94923. First we will calculate the prime factors of 94919 and 94923.

Prime Factorization of 94919

Prime factors of 94919 are 11, 8629. Prime factorization of 94919 in exponential form is:

94919 = 111 × 86291

Prime Factorization of 94923

Prime factors of 94923 are 3, 53, 199. Prime factorization of 94923 in exponential form is:

94923 = 32 × 531 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 94919 and 94923.

LCM(94919,94923) = 111 × 86291 × 32 × 531 × 1991
LCM(94919,94923) = 9009996237