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What is the Least Common Multiple of 95004 and 95011?

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 95004 and 95011 is 1289489292.

LCM(95004,95011) = 1289489292

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Least Common Multiple of 95004 and 95011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95004 and 95011, than apply into the LCM equation.

GCF(95004,95011) = 7
LCM(95004,95011) = ( 95004 × 95011) / 7
LCM(95004,95011) = 9026425044 / 7
LCM(95004,95011) = 1289489292

Least Common Multiple (LCM) of 95004 and 95011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95004 and 95011. First we will calculate the prime factors of 95004 and 95011.

Prime Factorization of 95004

Prime factors of 95004 are 2, 3, 7, 13, 29. Prime factorization of 95004 in exponential form is:

95004 = 22 × 32 × 71 × 131 × 291

Prime Factorization of 95011

Prime factors of 95011 are 7, 277. Prime factorization of 95011 in exponential form is:

95011 = 73 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 95004 and 95011.

LCM(95004,95011) = 22 × 32 × 73 × 131 × 291 × 2771
LCM(95004,95011) = 1289489292