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What is the Least Common Multiple of 66187 and 66192?

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 66187 and 66192 is 4381049904.

LCM(66187,66192) = 4381049904

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Least Common Multiple of 66187 and 66192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66187 and 66192, than apply into the LCM equation.

GCF(66187,66192) = 1
LCM(66187,66192) = ( 66187 × 66192) / 1
LCM(66187,66192) = 4381049904 / 1
LCM(66187,66192) = 4381049904

Least Common Multiple (LCM) of 66187 and 66192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66187 and 66192. First we will calculate the prime factors of 66187 and 66192.

Prime Factorization of 66187

Prime factors of 66187 are 11, 547. Prime factorization of 66187 in exponential form is:

66187 = 112 × 5471

Prime Factorization of 66192

Prime factors of 66192 are 2, 3, 7, 197. Prime factorization of 66192 in exponential form is:

66192 = 24 × 31 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 66187 and 66192.

LCM(66187,66192) = 112 × 5471 × 24 × 31 × 71 × 1971
LCM(66187,66192) = 4381049904