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What is the Least Common Multiple of 66212 and 66224?

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 66212 and 66224 is 1096205872.

LCM(66212,66224) = 1096205872

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Least Common Multiple of 66212 and 66224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66212 and 66224, than apply into the LCM equation.

GCF(66212,66224) = 4
LCM(66212,66224) = ( 66212 × 66224) / 4
LCM(66212,66224) = 4384823488 / 4
LCM(66212,66224) = 1096205872

Least Common Multiple (LCM) of 66212 and 66224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66212 and 66224. First we will calculate the prime factors of 66212 and 66224.

Prime Factorization of 66212

Prime factors of 66212 are 2, 16553. Prime factorization of 66212 in exponential form is:

66212 = 22 × 165531

Prime Factorization of 66224

Prime factors of 66224 are 2, 4139. Prime factorization of 66224 in exponential form is:

66224 = 24 × 41391

Now multiplying the highest exponent prime factors to calculate the LCM of 66212 and 66224.

LCM(66212,66224) = 24 × 165531 × 41391
LCM(66212,66224) = 1096205872