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What is the Least Common Multiple of 10492 and 10501?

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 10492 and 10501 is 110176492.

LCM(10492,10501) = 110176492

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Least Common Multiple of 10492 and 10501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10492 and 10501, than apply into the LCM equation.

GCF(10492,10501) = 1
LCM(10492,10501) = ( 10492 × 10501) / 1
LCM(10492,10501) = 110176492 / 1
LCM(10492,10501) = 110176492

Least Common Multiple (LCM) of 10492 and 10501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10492 and 10501. First we will calculate the prime factors of 10492 and 10501.

Prime Factorization of 10492

Prime factors of 10492 are 2, 43, 61. Prime factorization of 10492 in exponential form is:

10492 = 22 × 431 × 611

Prime Factorization of 10501

Prime factors of 10501 are 10501. Prime factorization of 10501 in exponential form is:

10501 = 105011

Now multiplying the highest exponent prime factors to calculate the LCM of 10492 and 10501.

LCM(10492,10501) = 22 × 431 × 611 × 105011
LCM(10492,10501) = 110176492