What is the Least Common Multiple of 11351 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 11351 and 11357 is 128913307.
LCM(11351,11357) = 128913307
Least Common Multiple of 11351 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 11351 and 11357, than apply into the LCM equation.
GCF(11351,11357) = 1
LCM(11351,11357) = ( 11351 × 11357) / 1
LCM(11351,11357) = 128913307 / 1
LCM(11351,11357) = 128913307
Least Common Multiple (LCM) of 11351 and 11357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11351 and 11357. First we will calculate the prime factors of 11351 and 11357.
Prime Factorization of 11351
Prime factors of 11351 are 11351. Prime factorization of 11351 in exponential form is:
11351 = 113511
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 11351 and 11357.
LCM(11351,11357) = 113511 × 411 × 2771
LCM(11351,11357) = 128913307
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