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What is the Least Common Multiple of 84757 and 84766?

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 84757 and 84766 is 7184511862.

LCM(84757,84766) = 7184511862

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Least Common Multiple of 84757 and 84766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84757 and 84766, than apply into the LCM equation.

GCF(84757,84766) = 1
LCM(84757,84766) = ( 84757 × 84766) / 1
LCM(84757,84766) = 7184511862 / 1
LCM(84757,84766) = 7184511862

Least Common Multiple (LCM) of 84757 and 84766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84757 and 84766. First we will calculate the prime factors of 84757 and 84766.

Prime Factorization of 84757

Prime factors of 84757 are 131, 647. Prime factorization of 84757 in exponential form is:

84757 = 1311 × 6471

Prime Factorization of 84766

Prime factors of 84766 are 2, 11, 3853. Prime factorization of 84766 in exponential form is:

84766 = 21 × 111 × 38531

Now multiplying the highest exponent prime factors to calculate the LCM of 84757 and 84766.

LCM(84757,84766) = 1311 × 6471 × 21 × 111 × 38531
LCM(84757,84766) = 7184511862