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What is the Least Common Multiple of 94264 and 94269?

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 94264 and 94269 is 8886173016.

LCM(94264,94269) = 8886173016

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Least Common Multiple of 94264 and 94269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94264 and 94269, than apply into the LCM equation.

GCF(94264,94269) = 1
LCM(94264,94269) = ( 94264 × 94269) / 1
LCM(94264,94269) = 8886173016 / 1
LCM(94264,94269) = 8886173016

Least Common Multiple (LCM) of 94264 and 94269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94264 and 94269. First we will calculate the prime factors of 94264 and 94269.

Prime Factorization of 94264

Prime factors of 94264 are 2, 11783. Prime factorization of 94264 in exponential form is:

94264 = 23 × 117831

Prime Factorization of 94269

Prime factors of 94269 are 3, 7, 67. Prime factorization of 94269 in exponential form is:

94269 = 31 × 71 × 672

Now multiplying the highest exponent prime factors to calculate the LCM of 94264 and 94269.

LCM(94264,94269) = 23 × 117831 × 31 × 71 × 672
LCM(94264,94269) = 8886173016