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What is the Least Common Multiple of 10554 and 10570?

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 10554 and 10570 is 55777890.

LCM(10554,10570) = 55777890

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Least Common Multiple of 10554 and 10570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10554 and 10570, than apply into the LCM equation.

GCF(10554,10570) = 2
LCM(10554,10570) = ( 10554 × 10570) / 2
LCM(10554,10570) = 111555780 / 2
LCM(10554,10570) = 55777890

Least Common Multiple (LCM) of 10554 and 10570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10554 and 10570. First we will calculate the prime factors of 10554 and 10570.

Prime Factorization of 10554

Prime factors of 10554 are 2, 3, 1759. Prime factorization of 10554 in exponential form is:

10554 = 21 × 31 × 17591

Prime Factorization of 10570

Prime factors of 10570 are 2, 5, 7, 151. Prime factorization of 10570 in exponential form is:

10570 = 21 × 51 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 10554 and 10570.

LCM(10554,10570) = 21 × 31 × 17591 × 51 × 71 × 1511
LCM(10554,10570) = 55777890