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What is the Least Common Multiple of 66280 and 66286?

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 66280 and 66286 is 2196718040.

LCM(66280,66286) = 2196718040

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Least Common Multiple of 66280 and 66286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66280 and 66286, than apply into the LCM equation.

GCF(66280,66286) = 2
LCM(66280,66286) = ( 66280 × 66286) / 2
LCM(66280,66286) = 4393436080 / 2
LCM(66280,66286) = 2196718040

Least Common Multiple (LCM) of 66280 and 66286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66280 and 66286. First we will calculate the prime factors of 66280 and 66286.

Prime Factorization of 66280

Prime factors of 66280 are 2, 5, 1657. Prime factorization of 66280 in exponential form is:

66280 = 23 × 51 × 16571

Prime Factorization of 66286

Prime factors of 66286 are 2, 11, 23, 131. Prime factorization of 66286 in exponential form is:

66286 = 21 × 111 × 231 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 66280 and 66286.

LCM(66280,66286) = 23 × 51 × 16571 × 111 × 231 × 1311
LCM(66280,66286) = 2196718040