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What is the Least Common Multiple of 94497 and 94506?

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 94497 and 94506 is 2976844494.

LCM(94497,94506) = 2976844494

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Least Common Multiple of 94497 and 94506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94497 and 94506, than apply into the LCM equation.

GCF(94497,94506) = 3
LCM(94497,94506) = ( 94497 × 94506) / 3
LCM(94497,94506) = 8930533482 / 3
LCM(94497,94506) = 2976844494

Least Common Multiple (LCM) of 94497 and 94506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94497 and 94506. First we will calculate the prime factors of 94497 and 94506.

Prime Factorization of 94497

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

94497 = 31 × 131 × 24231

Prime Factorization of 94506

Prime factors of 94506 are 2, 3, 19, 829. Prime factorization of 94506 in exponential form is:

94506 = 21 × 31 × 191 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 94497 and 94506.

LCM(94497,94506) = 31 × 131 × 24231 × 21 × 191 × 8291
LCM(94497,94506) = 2976844494