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What is the Least Common Multiple of 11342 and 11357?

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 11342 and 11357 is 128811094.

LCM(11342,11357) = 128811094

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Least Common Multiple of 11342 and 11357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11342 and 11357, than apply into the LCM equation.

GCF(11342,11357) = 1
LCM(11342,11357) = ( 11342 × 11357) / 1
LCM(11342,11357) = 128811094 / 1
LCM(11342,11357) = 128811094

Least Common Multiple (LCM) of 11342 and 11357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11342 and 11357. First we will calculate the prime factors of 11342 and 11357.

Prime Factorization of 11342

Prime factors of 11342 are 2, 53, 107. Prime factorization of 11342 in exponential form is:

11342 = 21 × 531 × 1071

Prime Factorization of 11357

Prime factors of 11357 are 41, 277. Prime factorization of 11357 in exponential form is:

11357 = 411 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 11342 and 11357.

LCM(11342,11357) = 21 × 531 × 1071 × 411 × 2771
LCM(11342,11357) = 128811094