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What is the Least Common Multiple of 11142 and 11159?

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 11142 and 11159 is 124333578.

LCM(11142,11159) = 124333578

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Least Common Multiple of 11142 and 11159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11142 and 11159, than apply into the LCM equation.

GCF(11142,11159) = 1
LCM(11142,11159) = ( 11142 × 11159) / 1
LCM(11142,11159) = 124333578 / 1
LCM(11142,11159) = 124333578

Least Common Multiple (LCM) of 11142 and 11159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11142 and 11159. First we will calculate the prime factors of 11142 and 11159.

Prime Factorization of 11142

Prime factors of 11142 are 2, 3, 619. Prime factorization of 11142 in exponential form is:

11142 = 21 × 32 × 6191

Prime Factorization of 11159

Prime factors of 11159 are 11159. Prime factorization of 11159 in exponential form is:

11159 = 111591

Now multiplying the highest exponent prime factors to calculate the LCM of 11142 and 11159.

LCM(11142,11159) = 21 × 32 × 6191 × 111591
LCM(11142,11159) = 124333578