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What is the Least Common Multiple of 10277 and 10282?

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 10277 and 10282 is 105668114.

LCM(10277,10282) = 105668114

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Least Common Multiple of 10277 and 10282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10277 and 10282, than apply into the LCM equation.

GCF(10277,10282) = 1
LCM(10277,10282) = ( 10277 × 10282) / 1
LCM(10277,10282) = 105668114 / 1
LCM(10277,10282) = 105668114

Least Common Multiple (LCM) of 10277 and 10282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10277 and 10282. First we will calculate the prime factors of 10277 and 10282.

Prime Factorization of 10277

Prime factors of 10277 are 43, 239. Prime factorization of 10277 in exponential form is:

10277 = 431 × 2391

Prime Factorization of 10282

Prime factors of 10282 are 2, 53, 97. Prime factorization of 10282 in exponential form is:

10282 = 21 × 531 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 10277 and 10282.

LCM(10277,10282) = 431 × 2391 × 21 × 531 × 971
LCM(10277,10282) = 105668114