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What is the Least Common Multiple of 66893 and 66900?

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 66893 and 66900 is 4475141700.

LCM(66893,66900) = 4475141700

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Least Common Multiple of 66893 and 66900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66893 and 66900, than apply into the LCM equation.

GCF(66893,66900) = 1
LCM(66893,66900) = ( 66893 × 66900) / 1
LCM(66893,66900) = 4475141700 / 1
LCM(66893,66900) = 4475141700

Least Common Multiple (LCM) of 66893 and 66900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66893 and 66900. First we will calculate the prime factors of 66893 and 66900.

Prime Factorization of 66893

Prime factors of 66893 are 151, 443. Prime factorization of 66893 in exponential form is:

66893 = 1511 × 4431

Prime Factorization of 66900

Prime factors of 66900 are 2, 3, 5, 223. Prime factorization of 66900 in exponential form is:

66900 = 22 × 31 × 52 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 66893 and 66900.

LCM(66893,66900) = 1511 × 4431 × 22 × 31 × 52 × 2231
LCM(66893,66900) = 4475141700