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What is the Least Common Multiple of 66228 and 66234?

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 66228 and 66234 is 731090892.

LCM(66228,66234) = 731090892

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Least Common Multiple of 66228 and 66234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66228 and 66234, than apply into the LCM equation.

GCF(66228,66234) = 6
LCM(66228,66234) = ( 66228 × 66234) / 6
LCM(66228,66234) = 4386545352 / 6
LCM(66228,66234) = 731090892

Least Common Multiple (LCM) of 66228 and 66234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66228 and 66234. First we will calculate the prime factors of 66228 and 66234.

Prime Factorization of 66228

Prime factors of 66228 are 2, 3, 5519. Prime factorization of 66228 in exponential form is:

66228 = 22 × 31 × 55191

Prime Factorization of 66234

Prime factors of 66234 are 2, 3, 7, 19, 83. Prime factorization of 66234 in exponential form is:

66234 = 21 × 31 × 71 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 66228 and 66234.

LCM(66228,66234) = 22 × 31 × 55191 × 71 × 191 × 831
LCM(66228,66234) = 731090892