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What is the Least Common Multiple of 11054 and 11061?

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 11054 and 11061 is 122268294.

LCM(11054,11061) = 122268294

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Least Common Multiple of 11054 and 11061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11054 and 11061, than apply into the LCM equation.

GCF(11054,11061) = 1
LCM(11054,11061) = ( 11054 × 11061) / 1
LCM(11054,11061) = 122268294 / 1
LCM(11054,11061) = 122268294

Least Common Multiple (LCM) of 11054 and 11061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11054 and 11061. First we will calculate the prime factors of 11054 and 11061.

Prime Factorization of 11054

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

11054 = 21 × 55271

Prime Factorization of 11061

Prime factors of 11061 are 3, 1229. Prime factorization of 11061 in exponential form is:

11061 = 32 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 11054 and 11061.

LCM(11054,11061) = 21 × 55271 × 32 × 12291
LCM(11054,11061) = 122268294