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What is the Least Common Multiple of 84850 and 84866?

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 84850 and 84866 is 3600440050.

LCM(84850,84866) = 3600440050

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Least Common Multiple of 84850 and 84866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84850 and 84866, than apply into the LCM equation.

GCF(84850,84866) = 2
LCM(84850,84866) = ( 84850 × 84866) / 2
LCM(84850,84866) = 7200880100 / 2
LCM(84850,84866) = 3600440050

Least Common Multiple (LCM) of 84850 and 84866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84850 and 84866. First we will calculate the prime factors of 84850 and 84866.

Prime Factorization of 84850

Prime factors of 84850 are 2, 5, 1697. Prime factorization of 84850 in exponential form is:

84850 = 21 × 52 × 16971

Prime Factorization of 84866

Prime factors of 84866 are 2, 42433. Prime factorization of 84866 in exponential form is:

84866 = 21 × 424331

Now multiplying the highest exponent prime factors to calculate the LCM of 84850 and 84866.

LCM(84850,84866) = 21 × 52 × 16971 × 424331
LCM(84850,84866) = 3600440050