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What is the Least Common Multiple of 84911 and 84918?

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 84911 and 84918 is 7210472298.

LCM(84911,84918) = 7210472298

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Least Common Multiple of 84911 and 84918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84911 and 84918, than apply into the LCM equation.

GCF(84911,84918) = 1
LCM(84911,84918) = ( 84911 × 84918) / 1
LCM(84911,84918) = 7210472298 / 1
LCM(84911,84918) = 7210472298

Least Common Multiple (LCM) of 84911 and 84918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84911 and 84918. First we will calculate the prime factors of 84911 and 84918.

Prime Factorization of 84911

Prime factors of 84911 are 19, 41, 109. Prime factorization of 84911 in exponential form is:

84911 = 191 × 411 × 1091

Prime Factorization of 84918

Prime factors of 84918 are 2, 3, 14153. Prime factorization of 84918 in exponential form is:

84918 = 21 × 31 × 141531

Now multiplying the highest exponent prime factors to calculate the LCM of 84911 and 84918.

LCM(84911,84918) = 191 × 411 × 1091 × 21 × 31 × 141531
LCM(84911,84918) = 7210472298