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What is the Least Common Multiple of 94482 and 94497?

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 94482 and 94497 is 2976088518.

LCM(94482,94497) = 2976088518

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Least Common Multiple of 94482 and 94497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94482 and 94497, than apply into the LCM equation.

GCF(94482,94497) = 3
LCM(94482,94497) = ( 94482 × 94497) / 3
LCM(94482,94497) = 8928265554 / 3
LCM(94482,94497) = 2976088518

Least Common Multiple (LCM) of 94482 and 94497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94482 and 94497. First we will calculate the prime factors of 94482 and 94497.

Prime Factorization of 94482

Prime factors of 94482 are 2, 3, 29, 181. Prime factorization of 94482 in exponential form is:

94482 = 21 × 32 × 291 × 1811

Prime Factorization of 94497

Prime factors of 94497 are 3, 13, 2423. Prime factorization of 94497 in exponential form is:

94497 = 31 × 131 × 24231

Now multiplying the highest exponent prime factors to calculate the LCM of 94482 and 94497.

LCM(94482,94497) = 21 × 32 × 291 × 1811 × 131 × 24231
LCM(94482,94497) = 2976088518