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What is the Least Common Multiple of 11134 and 11138?

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 11134 and 11138 is 62005246.

LCM(11134,11138) = 62005246

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Least Common Multiple of 11134 and 11138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11134 and 11138, than apply into the LCM equation.

GCF(11134,11138) = 2
LCM(11134,11138) = ( 11134 × 11138) / 2
LCM(11134,11138) = 124010492 / 2
LCM(11134,11138) = 62005246

Least Common Multiple (LCM) of 11134 and 11138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11134 and 11138. First we will calculate the prime factors of 11134 and 11138.

Prime Factorization of 11134

Prime factors of 11134 are 2, 19, 293. Prime factorization of 11134 in exponential form is:

11134 = 21 × 191 × 2931

Prime Factorization of 11138

Prime factors of 11138 are 2, 5569. Prime factorization of 11138 in exponential form is:

11138 = 21 × 55691

Now multiplying the highest exponent prime factors to calculate the LCM of 11134 and 11138.

LCM(11134,11138) = 21 × 191 × 2931 × 55691
LCM(11134,11138) = 62005246