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What is the Least Common Multiple of 86783 and 86797?

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 86783 and 86797 is 7532504051.

LCM(86783,86797) = 7532504051

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Least Common Multiple of 86783 and 86797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86783 and 86797, than apply into the LCM equation.

GCF(86783,86797) = 1
LCM(86783,86797) = ( 86783 × 86797) / 1
LCM(86783,86797) = 7532504051 / 1
LCM(86783,86797) = 7532504051

Least Common Multiple (LCM) of 86783 and 86797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86783 and 86797. First we will calculate the prime factors of 86783 and 86797.

Prime Factorization of 86783

Prime factors of 86783 are 86783. Prime factorization of 86783 in exponential form is:

86783 = 867831

Prime Factorization of 86797

Prime factors of 86797 are 29, 41, 73. Prime factorization of 86797 in exponential form is:

86797 = 291 × 411 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 86783 and 86797.

LCM(86783,86797) = 867831 × 291 × 411 × 731
LCM(86783,86797) = 7532504051