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What is the Least Common Multiple of 94906 and 94913?

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 94906 and 94913 is 1286830454.

LCM(94906,94913) = 1286830454

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Least Common Multiple of 94906 and 94913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94906 and 94913, than apply into the LCM equation.

GCF(94906,94913) = 7
LCM(94906,94913) = ( 94906 × 94913) / 7
LCM(94906,94913) = 9007813178 / 7
LCM(94906,94913) = 1286830454

Least Common Multiple (LCM) of 94906 and 94913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94906 and 94913. First we will calculate the prime factors of 94906 and 94913.

Prime Factorization of 94906

Prime factors of 94906 are 2, 7, 6779. Prime factorization of 94906 in exponential form is:

94906 = 21 × 71 × 67791

Prime Factorization of 94913

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

94913 = 72 × 131 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 94906 and 94913.

LCM(94906,94913) = 21 × 72 × 67791 × 131 × 1491
LCM(94906,94913) = 1286830454