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What is the Least Common Multiple of 10550 and 10561?

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 10550 and 10561 is 111418550.

LCM(10550,10561) = 111418550

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Least Common Multiple of 10550 and 10561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10550 and 10561, than apply into the LCM equation.

GCF(10550,10561) = 1
LCM(10550,10561) = ( 10550 × 10561) / 1
LCM(10550,10561) = 111418550 / 1
LCM(10550,10561) = 111418550

Least Common Multiple (LCM) of 10550 and 10561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10550 and 10561. First we will calculate the prime factors of 10550 and 10561.

Prime Factorization of 10550

Prime factors of 10550 are 2, 5, 211. Prime factorization of 10550 in exponential form is:

10550 = 21 × 52 × 2111

Prime Factorization of 10561

Prime factors of 10561 are 59, 179. Prime factorization of 10561 in exponential form is:

10561 = 591 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 10550 and 10561.

LCM(10550,10561) = 21 × 52 × 2111 × 591 × 1791
LCM(10550,10561) = 111418550