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What is the Least Common Multiple of 11058 and 11076?

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 11058 and 11076 is 20413068.

LCM(11058,11076) = 20413068

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Least Common Multiple of 11058 and 11076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11058 and 11076, than apply into the LCM equation.

GCF(11058,11076) = 6
LCM(11058,11076) = ( 11058 × 11076) / 6
LCM(11058,11076) = 122478408 / 6
LCM(11058,11076) = 20413068

Least Common Multiple (LCM) of 11058 and 11076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11058 and 11076. First we will calculate the prime factors of 11058 and 11076.

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

Prime Factorization of 11076

Prime factors of 11076 are 2, 3, 13, 71. Prime factorization of 11076 in exponential form is:

11076 = 22 × 31 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 11058 and 11076.

LCM(11058,11076) = 22 × 31 × 191 × 971 × 131 × 711
LCM(11058,11076) = 20413068