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What is the Least Common Multiple of 66211 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 66211 and 66220 is 4384492420.

LCM(66211,66220) = 4384492420

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Least Common Multiple of 66211 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 66211 and 66220, than apply into the LCM equation.

GCF(66211,66220) = 1
LCM(66211,66220) = ( 66211 × 66220) / 1
LCM(66211,66220) = 4384492420 / 1
LCM(66211,66220) = 4384492420

Least Common Multiple (LCM) of 66211 and 66220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66211 and 66220. First we will calculate the prime factors of 66211 and 66220.

Prime Factorization of 66211

Prime factors of 66211 are 73, 907. Prime factorization of 66211 in exponential form is:

66211 = 731 × 9071

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 66211 and 66220.

LCM(66211,66220) = 731 × 9071 × 22 × 51 × 71 × 111 × 431
LCM(66211,66220) = 4384492420