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What is the Least Common Multiple of 10265 and 10277?

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 10265 and 10277 is 105493405.

LCM(10265,10277) = 105493405

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Least Common Multiple of 10265 and 10277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10265 and 10277, than apply into the LCM equation.

GCF(10265,10277) = 1
LCM(10265,10277) = ( 10265 × 10277) / 1
LCM(10265,10277) = 105493405 / 1
LCM(10265,10277) = 105493405

Least Common Multiple (LCM) of 10265 and 10277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10265 and 10277. First we will calculate the prime factors of 10265 and 10277.

Prime Factorization of 10265

Prime factors of 10265 are 5, 2053. Prime factorization of 10265 in exponential form is:

10265 = 51 × 20531

Prime Factorization of 10277

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

10277 = 431 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 10265 and 10277.

LCM(10265,10277) = 51 × 20531 × 431 × 2391
LCM(10265,10277) = 105493405