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What is the Least Common Multiple of 94888 and 94903?

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 94888 and 94903 is 9005155864.

LCM(94888,94903) = 9005155864

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Least Common Multiple of 94888 and 94903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94888 and 94903, than apply into the LCM equation.

GCF(94888,94903) = 1
LCM(94888,94903) = ( 94888 × 94903) / 1
LCM(94888,94903) = 9005155864 / 1
LCM(94888,94903) = 9005155864

Least Common Multiple (LCM) of 94888 and 94903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94888 and 94903. First we will calculate the prime factors of 94888 and 94903.

Prime Factorization of 94888

Prime factors of 94888 are 2, 29, 409. Prime factorization of 94888 in exponential form is:

94888 = 23 × 291 × 4091

Prime Factorization of 94903

Prime factors of 94903 are 94903. Prime factorization of 94903 in exponential form is:

94903 = 949031

Now multiplying the highest exponent prime factors to calculate the LCM of 94888 and 94903.

LCM(94888,94903) = 23 × 291 × 4091 × 949031
LCM(94888,94903) = 9005155864