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What is the Least Common Multiple of 66203 and 66220?

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 66203 and 66220 is 4383962660.

LCM(66203,66220) = 4383962660

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Least Common Multiple of 66203 and 66220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66203 and 66220, than apply into the LCM equation.

GCF(66203,66220) = 1
LCM(66203,66220) = ( 66203 × 66220) / 1
LCM(66203,66220) = 4383962660 / 1
LCM(66203,66220) = 4383962660

Least Common Multiple (LCM) of 66203 and 66220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66203 and 66220. First we will calculate the prime factors of 66203 and 66220.

Prime Factorization of 66203

Prime factors of 66203 are 239, 277. Prime factorization of 66203 in exponential form is:

66203 = 2391 × 2771

Prime Factorization of 66220

Prime factors of 66220 are 2, 5, 7, 11, 43. Prime factorization of 66220 in exponential form is:

66220 = 22 × 51 × 71 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 66203 and 66220.

LCM(66203,66220) = 2391 × 2771 × 22 × 51 × 71 × 111 × 431
LCM(66203,66220) = 4383962660