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What is the Least Common Multiple of 83070 and 83081?

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 83070 and 83081 is 6901538670.

LCM(83070,83081) = 6901538670

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Least Common Multiple of 83070 and 83081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83070 and 83081, than apply into the LCM equation.

GCF(83070,83081) = 1
LCM(83070,83081) = ( 83070 × 83081) / 1
LCM(83070,83081) = 6901538670 / 1
LCM(83070,83081) = 6901538670

Least Common Multiple (LCM) of 83070 and 83081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83070 and 83081. First we will calculate the prime factors of 83070 and 83081.

Prime Factorization of 83070

Prime factors of 83070 are 2, 3, 5, 13, 71. Prime factorization of 83070 in exponential form is:

83070 = 21 × 32 × 51 × 131 × 711

Prime Factorization of 83081

Prime factors of 83081 are 251, 331. Prime factorization of 83081 in exponential form is:

83081 = 2511 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 83070 and 83081.

LCM(83070,83081) = 21 × 32 × 51 × 131 × 711 × 2511 × 3311
LCM(83070,83081) = 6901538670