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What is the Least Common Multiple of 66823 and 66842?

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 66823 and 66842 is 235083314.

LCM(66823,66842) = 235083314

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Least Common Multiple of 66823 and 66842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66823 and 66842, than apply into the LCM equation.

GCF(66823,66842) = 19
LCM(66823,66842) = ( 66823 × 66842) / 19
LCM(66823,66842) = 4466582966 / 19
LCM(66823,66842) = 235083314

Least Common Multiple (LCM) of 66823 and 66842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66823 and 66842. First we will calculate the prime factors of 66823 and 66842.

Prime Factorization of 66823

Prime factors of 66823 are 19, 3517. Prime factorization of 66823 in exponential form is:

66823 = 191 × 35171

Prime Factorization of 66842

Prime factors of 66842 are 2, 19, 1759. Prime factorization of 66842 in exponential form is:

66842 = 21 × 191 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 66823 and 66842.

LCM(66823,66842) = 191 × 35171 × 21 × 17591
LCM(66823,66842) = 235083314