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What is the Least Common Multiple of 66818 and 66835?

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 66818 and 66835 is 4465781030.

LCM(66818,66835) = 4465781030

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Least Common Multiple of 66818 and 66835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66818 and 66835, than apply into the LCM equation.

GCF(66818,66835) = 1
LCM(66818,66835) = ( 66818 × 66835) / 1
LCM(66818,66835) = 4465781030 / 1
LCM(66818,66835) = 4465781030

Least Common Multiple (LCM) of 66818 and 66835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66818 and 66835. First we will calculate the prime factors of 66818 and 66835.

Prime Factorization of 66818

Prime factors of 66818 are 2, 33409. Prime factorization of 66818 in exponential form is:

66818 = 21 × 334091

Prime Factorization of 66835

Prime factors of 66835 are 5, 13367. Prime factorization of 66835 in exponential form is:

66835 = 51 × 133671

Now multiplying the highest exponent prime factors to calculate the LCM of 66818 and 66835.

LCM(66818,66835) = 21 × 334091 × 51 × 133671
LCM(66818,66835) = 4465781030