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What is the Least Common Multiple of 11059 and 11078?

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 11059 and 11078 is 122511602.

LCM(11059,11078) = 122511602

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Least Common Multiple of 11059 and 11078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11059 and 11078, than apply into the LCM equation.

GCF(11059,11078) = 1
LCM(11059,11078) = ( 11059 × 11078) / 1
LCM(11059,11078) = 122511602 / 1
LCM(11059,11078) = 122511602

Least Common Multiple (LCM) of 11059 and 11078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11059 and 11078. First we will calculate the prime factors of 11059 and 11078.

Prime Factorization of 11059

Prime factors of 11059 are 11059. Prime factorization of 11059 in exponential form is:

11059 = 110591

Prime Factorization of 11078

Prime factors of 11078 are 2, 29, 191. Prime factorization of 11078 in exponential form is:

11078 = 21 × 291 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 11059 and 11078.

LCM(11059,11078) = 110591 × 21 × 291 × 1911
LCM(11059,11078) = 122511602