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What is the Least Common Multiple of 11210 and 11214?

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 11210 and 11214 is 62854470.

LCM(11210,11214) = 62854470

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Least Common Multiple of 11210 and 11214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11210 and 11214, than apply into the LCM equation.

GCF(11210,11214) = 2
LCM(11210,11214) = ( 11210 × 11214) / 2
LCM(11210,11214) = 125708940 / 2
LCM(11210,11214) = 62854470

Least Common Multiple (LCM) of 11210 and 11214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11210 and 11214. First we will calculate the prime factors of 11210 and 11214.

Prime Factorization of 11210

Prime factors of 11210 are 2, 5, 19, 59. Prime factorization of 11210 in exponential form is:

11210 = 21 × 51 × 191 × 591

Prime Factorization of 11214

Prime factors of 11214 are 2, 3, 7, 89. Prime factorization of 11214 in exponential form is:

11214 = 21 × 32 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 11210 and 11214.

LCM(11210,11214) = 21 × 51 × 191 × 591 × 32 × 71 × 891
LCM(11210,11214) = 62854470