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What is the Least Common Multiple of 86771 and 86783?

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 86771 and 86783 is 7530247693.

LCM(86771,86783) = 7530247693

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Least Common Multiple of 86771 and 86783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86771 and 86783, than apply into the LCM equation.

GCF(86771,86783) = 1
LCM(86771,86783) = ( 86771 × 86783) / 1
LCM(86771,86783) = 7530247693 / 1
LCM(86771,86783) = 7530247693

Least Common Multiple (LCM) of 86771 and 86783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86771 and 86783. First we will calculate the prime factors of 86771 and 86783.

Prime Factorization of 86771

Prime factors of 86771 are 86771. Prime factorization of 86771 in exponential form is:

86771 = 867711

Prime Factorization of 86783

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

86783 = 867831

Now multiplying the highest exponent prime factors to calculate the LCM of 86771 and 86783.

LCM(86771,86783) = 867711 × 867831
LCM(86771,86783) = 7530247693