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What is the Least Common Multiple of 66363 and 66373?

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 66363 and 66373 is 4404711399.

LCM(66363,66373) = 4404711399

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Least Common Multiple of 66363 and 66373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66363 and 66373, than apply into the LCM equation.

GCF(66363,66373) = 1
LCM(66363,66373) = ( 66363 × 66373) / 1
LCM(66363,66373) = 4404711399 / 1
LCM(66363,66373) = 4404711399

Least Common Multiple (LCM) of 66363 and 66373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66363 and 66373. First we will calculate the prime factors of 66363 and 66373.

Prime Factorization of 66363

Prime factors of 66363 are 3, 11, 2011. Prime factorization of 66363 in exponential form is:

66363 = 31 × 111 × 20111

Prime Factorization of 66373

Prime factors of 66373 are 66373. Prime factorization of 66373 in exponential form is:

66373 = 663731

Now multiplying the highest exponent prime factors to calculate the LCM of 66363 and 66373.

LCM(66363,66373) = 31 × 111 × 20111 × 663731
LCM(66363,66373) = 4404711399