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What is the Least Common Multiple of 10560 and 10576?

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 10560 and 10576 is 6980160.

LCM(10560,10576) = 6980160

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Least Common Multiple of 10560 and 10576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10560 and 10576, than apply into the LCM equation.

GCF(10560,10576) = 16
LCM(10560,10576) = ( 10560 × 10576) / 16
LCM(10560,10576) = 111682560 / 16
LCM(10560,10576) = 6980160

Least Common Multiple (LCM) of 10560 and 10576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10560 and 10576. First we will calculate the prime factors of 10560 and 10576.

Prime Factorization of 10560

Prime factors of 10560 are 2, 3, 5, 11. Prime factorization of 10560 in exponential form is:

10560 = 26 × 31 × 51 × 111

Prime Factorization of 10576

Prime factors of 10576 are 2, 661. Prime factorization of 10576 in exponential form is:

10576 = 24 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 10560 and 10576.

LCM(10560,10576) = 26 × 31 × 51 × 111 × 6611
LCM(10560,10576) = 6980160