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What is the Least Common Multiple of 93990 and 94000?

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 93990 and 94000 is 883506000.

LCM(93990,94000) = 883506000

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Least Common Multiple of 93990 and 94000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93990 and 94000, than apply into the LCM equation.

GCF(93990,94000) = 10
LCM(93990,94000) = ( 93990 × 94000) / 10
LCM(93990,94000) = 8835060000 / 10
LCM(93990,94000) = 883506000

Least Common Multiple (LCM) of 93990 and 94000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93990 and 94000. First we will calculate the prime factors of 93990 and 94000.

Prime Factorization of 93990

Prime factors of 93990 are 2, 3, 5, 13, 241. Prime factorization of 93990 in exponential form is:

93990 = 21 × 31 × 51 × 131 × 2411

Prime Factorization of 94000

Prime factors of 94000 are 2, 5, 47. Prime factorization of 94000 in exponential form is:

94000 = 24 × 53 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 93990 and 94000.

LCM(93990,94000) = 24 × 31 × 53 × 131 × 2411 × 471
LCM(93990,94000) = 883506000