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What is the Least Common Multiple of 66228 and 66237?

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 66237 is 1462248012.

LCM(66228,66237) = 1462248012

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Least Common Multiple of 66228 and 66237 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 66237, than apply into the LCM equation.

GCF(66228,66237) = 3
LCM(66228,66237) = ( 66228 × 66237) / 3
LCM(66228,66237) = 4386744036 / 3
LCM(66228,66237) = 1462248012

Least Common Multiple (LCM) of 66228 and 66237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66228 and 66237. First we will calculate the prime factors of 66228 and 66237.

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 66237

Prime factors of 66237 are 3, 22079. Prime factorization of 66237 in exponential form is:

66237 = 31 × 220791

Now multiplying the highest exponent prime factors to calculate the LCM of 66228 and 66237.

LCM(66228,66237) = 22 × 31 × 55191 × 220791
LCM(66228,66237) = 1462248012