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What is the Least Common Multiple of 11124 and 11137?

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 11124 and 11137 is 123887988.

LCM(11124,11137) = 123887988

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Least Common Multiple of 11124 and 11137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11124 and 11137, than apply into the LCM equation.

GCF(11124,11137) = 1
LCM(11124,11137) = ( 11124 × 11137) / 1
LCM(11124,11137) = 123887988 / 1
LCM(11124,11137) = 123887988

Least Common Multiple (LCM) of 11124 and 11137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11124 and 11137. First we will calculate the prime factors of 11124 and 11137.

Prime Factorization of 11124

Prime factors of 11124 are 2, 3, 103. Prime factorization of 11124 in exponential form is:

11124 = 22 × 33 × 1031

Prime Factorization of 11137

Prime factors of 11137 are 7, 37, 43. Prime factorization of 11137 in exponential form is:

11137 = 71 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 11124 and 11137.

LCM(11124,11137) = 22 × 33 × 1031 × 71 × 371 × 431
LCM(11124,11137) = 123887988