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What is the Least Common Multiple of 10553 and 10564?

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 10553 and 10564 is 111481892.

LCM(10553,10564) = 111481892

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Least Common Multiple of 10553 and 10564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10553 and 10564, than apply into the LCM equation.

GCF(10553,10564) = 1
LCM(10553,10564) = ( 10553 × 10564) / 1
LCM(10553,10564) = 111481892 / 1
LCM(10553,10564) = 111481892

Least Common Multiple (LCM) of 10553 and 10564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10553 and 10564. First we will calculate the prime factors of 10553 and 10564.

Prime Factorization of 10553

Prime factors of 10553 are 61, 173. Prime factorization of 10553 in exponential form is:

10553 = 611 × 1731

Prime Factorization of 10564

Prime factors of 10564 are 2, 19, 139. Prime factorization of 10564 in exponential form is:

10564 = 22 × 191 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10553 and 10564.

LCM(10553,10564) = 611 × 1731 × 22 × 191 × 1391
LCM(10553,10564) = 111481892