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What is the Least Common Multiple of 84766 and 84775?

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 84766 and 84775 is 7186037650.

LCM(84766,84775) = 7186037650

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Least Common Multiple of 84766 and 84775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84766 and 84775, than apply into the LCM equation.

GCF(84766,84775) = 1
LCM(84766,84775) = ( 84766 × 84775) / 1
LCM(84766,84775) = 7186037650 / 1
LCM(84766,84775) = 7186037650

Least Common Multiple (LCM) of 84766 and 84775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84766 and 84775. First we will calculate the prime factors of 84766 and 84775.

Prime Factorization of 84766

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

84766 = 21 × 111 × 38531

Prime Factorization of 84775

Prime factors of 84775 are 5, 3391. Prime factorization of 84775 in exponential form is:

84775 = 52 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 84766 and 84775.

LCM(84766,84775) = 21 × 111 × 38531 × 52 × 33911
LCM(84766,84775) = 7186037650