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What is the Least Common Multiple of 10461 and 10467?

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 10461 and 10467 is 36498429.

LCM(10461,10467) = 36498429

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Least Common Multiple of 10461 and 10467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10461 and 10467, than apply into the LCM equation.

GCF(10461,10467) = 3
LCM(10461,10467) = ( 10461 × 10467) / 3
LCM(10461,10467) = 109495287 / 3
LCM(10461,10467) = 36498429

Least Common Multiple (LCM) of 10461 and 10467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10461 and 10467. First we will calculate the prime factors of 10461 and 10467.

Prime Factorization of 10461

Prime factors of 10461 are 3, 11, 317. Prime factorization of 10461 in exponential form is:

10461 = 31 × 111 × 3171

Prime Factorization of 10467

Prime factors of 10467 are 3, 1163. Prime factorization of 10467 in exponential form is:

10467 = 32 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 10461 and 10467.

LCM(10461,10467) = 32 × 111 × 3171 × 11631
LCM(10461,10467) = 36498429