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What is the Least Common Multiple of 94935 and 94945?

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 94935 and 94945 is 1802720715.

LCM(94935,94945) = 1802720715

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Least Common Multiple of 94935 and 94945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94935 and 94945, than apply into the LCM equation.

GCF(94935,94945) = 5
LCM(94935,94945) = ( 94935 × 94945) / 5
LCM(94935,94945) = 9013603575 / 5
LCM(94935,94945) = 1802720715

Least Common Multiple (LCM) of 94935 and 94945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94935 and 94945. First we will calculate the prime factors of 94935 and 94945.

Prime Factorization of 94935

Prime factors of 94935 are 3, 5, 6329. Prime factorization of 94935 in exponential form is:

94935 = 31 × 51 × 63291

Prime Factorization of 94945

Prime factors of 94945 are 5, 17, 1117. Prime factorization of 94945 in exponential form is:

94945 = 51 × 171 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 94935 and 94945.

LCM(94935,94945) = 31 × 51 × 63291 × 171 × 11171
LCM(94935,94945) = 1802720715