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What is the Least Common Multiple of 11042 and 11054?

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 11042 and 11054 is 61029134.

LCM(11042,11054) = 61029134

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Least Common Multiple of 11042 and 11054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11042 and 11054, than apply into the LCM equation.

GCF(11042,11054) = 2
LCM(11042,11054) = ( 11042 × 11054) / 2
LCM(11042,11054) = 122058268 / 2
LCM(11042,11054) = 61029134

Least Common Multiple (LCM) of 11042 and 11054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11042 and 11054. First we will calculate the prime factors of 11042 and 11054.

Prime Factorization of 11042

Prime factors of 11042 are 2, 5521. Prime factorization of 11042 in exponential form is:

11042 = 21 × 55211

Prime Factorization of 11054

Prime factors of 11054 are 2, 5527. Prime factorization of 11054 in exponential form is:

11054 = 21 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 11042 and 11054.

LCM(11042,11054) = 21 × 55211 × 55271
LCM(11042,11054) = 61029134