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What is the Least Common Multiple of 11120 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 11120 and 11138 is 61927280.

LCM(11120,11138) = 61927280

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Least Common Multiple of 11120 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 11120 and 11138, than apply into the LCM equation.

GCF(11120,11138) = 2
LCM(11120,11138) = ( 11120 × 11138) / 2
LCM(11120,11138) = 123854560 / 2
LCM(11120,11138) = 61927280

Least Common Multiple (LCM) of 11120 and 11138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11120 and 11138. First we will calculate the prime factors of 11120 and 11138.

Prime Factorization of 11120

Prime factors of 11120 are 2, 5, 139. Prime factorization of 11120 in exponential form is:

11120 = 24 × 51 × 1391

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 11120 and 11138.

LCM(11120,11138) = 24 × 51 × 1391 × 55691
LCM(11120,11138) = 61927280