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What is the Least Common Multiple of 11118 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 11118 and 11138 is 61916142.

LCM(11118,11138) = 61916142

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Least Common Multiple of 11118 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 11118 and 11138, than apply into the LCM equation.

GCF(11118,11138) = 2
LCM(11118,11138) = ( 11118 × 11138) / 2
LCM(11118,11138) = 123832284 / 2
LCM(11118,11138) = 61916142

Least Common Multiple (LCM) of 11118 and 11138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11118 and 11138. First we will calculate the prime factors of 11118 and 11138.

Prime Factorization of 11118

Prime factors of 11118 are 2, 3, 17, 109. Prime factorization of 11118 in exponential form is:

11118 = 21 × 31 × 171 × 1091

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 11118 and 11138.

LCM(11118,11138) = 21 × 31 × 171 × 1091 × 55691
LCM(11118,11138) = 61916142