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What is the Least Common Multiple of 94913 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 94913 and 94923 is 9009426699.

LCM(94913,94923) = 9009426699

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Least Common Multiple of 94913 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 94913 and 94923, than apply into the LCM equation.

GCF(94913,94923) = 1
LCM(94913,94923) = ( 94913 × 94923) / 1
LCM(94913,94923) = 9009426699 / 1
LCM(94913,94923) = 9009426699

Least Common Multiple (LCM) of 94913 and 94923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94913 and 94923. First we will calculate the prime factors of 94913 and 94923.

Prime Factorization of 94913

Prime factors of 94913 are 7, 13, 149. Prime factorization of 94913 in exponential form is:

94913 = 72 × 131 × 1491

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 94913 and 94923.

LCM(94913,94923) = 72 × 131 × 1491 × 32 × 531 × 1991
LCM(94913,94923) = 9009426699