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What is the Least Common Multiple of 11090 and 11102?

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 11090 and 11102 is 61560590.

LCM(11090,11102) = 61560590

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Least Common Multiple of 11090 and 11102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11090 and 11102, than apply into the LCM equation.

GCF(11090,11102) = 2
LCM(11090,11102) = ( 11090 × 11102) / 2
LCM(11090,11102) = 123121180 / 2
LCM(11090,11102) = 61560590

Least Common Multiple (LCM) of 11090 and 11102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11090 and 11102. First we will calculate the prime factors of 11090 and 11102.

Prime Factorization of 11090

Prime factors of 11090 are 2, 5, 1109. Prime factorization of 11090 in exponential form is:

11090 = 21 × 51 × 11091

Prime Factorization of 11102

Prime factors of 11102 are 2, 7, 13, 61. Prime factorization of 11102 in exponential form is:

11102 = 21 × 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 11090 and 11102.

LCM(11090,11102) = 21 × 51 × 11091 × 71 × 131 × 611
LCM(11090,11102) = 61560590