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What is the Least Common Multiple of 93999 and 94006?

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 93999 and 94006 is 8836469994.

LCM(93999,94006) = 8836469994

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Least Common Multiple of 93999 and 94006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93999 and 94006, than apply into the LCM equation.

GCF(93999,94006) = 1
LCM(93999,94006) = ( 93999 × 94006) / 1
LCM(93999,94006) = 8836469994 / 1
LCM(93999,94006) = 8836469994

Least Common Multiple (LCM) of 93999 and 94006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93999 and 94006. First we will calculate the prime factors of 93999 and 94006.

Prime Factorization of 93999

Prime factors of 93999 are 3, 31333. Prime factorization of 93999 in exponential form is:

93999 = 31 × 313331

Prime Factorization of 94006

Prime factors of 94006 are 2, 11, 4273. Prime factorization of 94006 in exponential form is:

94006 = 21 × 111 × 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 93999 and 94006.

LCM(93999,94006) = 31 × 313331 × 21 × 111 × 42731
LCM(93999,94006) = 8836469994