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What is the Least Common Multiple of 11050 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 11050 and 11054 is 61073350.

LCM(11050,11054) = 61073350

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Least Common Multiple of 11050 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 11050 and 11054, than apply into the LCM equation.

GCF(11050,11054) = 2
LCM(11050,11054) = ( 11050 × 11054) / 2
LCM(11050,11054) = 122146700 / 2
LCM(11050,11054) = 61073350

Least Common Multiple (LCM) of 11050 and 11054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11050 and 11054. First we will calculate the prime factors of 11050 and 11054.

Prime Factorization of 11050

Prime factors of 11050 are 2, 5, 13, 17. Prime factorization of 11050 in exponential form is:

11050 = 21 × 52 × 131 × 171

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 11050 and 11054.

LCM(11050,11054) = 21 × 52 × 131 × 171 × 55271
LCM(11050,11054) = 61073350