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What is the Least Common Multiple of 10512 and 10522?

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 10512 and 10522 is 55303632.

LCM(10512,10522) = 55303632

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Least Common Multiple of 10512 and 10522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10512 and 10522, than apply into the LCM equation.

GCF(10512,10522) = 2
LCM(10512,10522) = ( 10512 × 10522) / 2
LCM(10512,10522) = 110607264 / 2
LCM(10512,10522) = 55303632

Least Common Multiple (LCM) of 10512 and 10522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10512 and 10522. First we will calculate the prime factors of 10512 and 10522.

Prime Factorization of 10512

Prime factors of 10512 are 2, 3, 73. Prime factorization of 10512 in exponential form is:

10512 = 24 × 32 × 731

Prime Factorization of 10522

Prime factors of 10522 are 2, 5261. Prime factorization of 10522 in exponential form is:

10522 = 21 × 52611

Now multiplying the highest exponent prime factors to calculate the LCM of 10512 and 10522.

LCM(10512,10522) = 24 × 32 × 731 × 52611
LCM(10512,10522) = 55303632