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What is the Least Common Multiple of 66604 and 66621?

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 66604 and 66621 is 4437225084.

LCM(66604,66621) = 4437225084

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Least Common Multiple of 66604 and 66621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66604 and 66621, than apply into the LCM equation.

GCF(66604,66621) = 1
LCM(66604,66621) = ( 66604 × 66621) / 1
LCM(66604,66621) = 4437225084 / 1
LCM(66604,66621) = 4437225084

Least Common Multiple (LCM) of 66604 and 66621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66604 and 66621. First we will calculate the prime factors of 66604 and 66621.

Prime Factorization of 66604

Prime factors of 66604 are 2, 16651. Prime factorization of 66604 in exponential form is:

66604 = 22 × 166511

Prime Factorization of 66621

Prime factors of 66621 are 3, 53, 419. Prime factorization of 66621 in exponential form is:

66621 = 31 × 531 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 66604 and 66621.

LCM(66604,66621) = 22 × 166511 × 31 × 531 × 4191
LCM(66604,66621) = 4437225084