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What is the Least Common Multiple of 11053 and 11058?

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 11053 and 11058 is 122224074.

LCM(11053,11058) = 122224074

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Least Common Multiple of 11053 and 11058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11053 and 11058, than apply into the LCM equation.

GCF(11053,11058) = 1
LCM(11053,11058) = ( 11053 × 11058) / 1
LCM(11053,11058) = 122224074 / 1
LCM(11053,11058) = 122224074

Least Common Multiple (LCM) of 11053 and 11058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11053 and 11058. First we will calculate the prime factors of 11053 and 11058.

Prime Factorization of 11053

Prime factors of 11053 are 7, 1579. Prime factorization of 11053 in exponential form is:

11053 = 71 × 15791

Prime Factorization of 11058

Prime factors of 11058 are 2, 3, 19, 97. Prime factorization of 11058 in exponential form is:

11058 = 21 × 31 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 11053 and 11058.

LCM(11053,11058) = 71 × 15791 × 21 × 31 × 191 × 971
LCM(11053,11058) = 122224074