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What is the Least Common Multiple of 94065 and 94081?

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 94065 and 94081 is 8849729265.

LCM(94065,94081) = 8849729265

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Least Common Multiple of 94065 and 94081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94065 and 94081, than apply into the LCM equation.

GCF(94065,94081) = 1
LCM(94065,94081) = ( 94065 × 94081) / 1
LCM(94065,94081) = 8849729265 / 1
LCM(94065,94081) = 8849729265

Least Common Multiple (LCM) of 94065 and 94081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94065 and 94081. First we will calculate the prime factors of 94065 and 94081.

Prime Factorization of 94065

Prime factors of 94065 are 3, 5, 6271. Prime factorization of 94065 in exponential form is:

94065 = 31 × 51 × 62711

Prime Factorization of 94081

Prime factors of 94081 are 13, 7237. Prime factorization of 94081 in exponential form is:

94081 = 131 × 72371

Now multiplying the highest exponent prime factors to calculate the LCM of 94065 and 94081.

LCM(94065,94081) = 31 × 51 × 62711 × 131 × 72371
LCM(94065,94081) = 8849729265