What is the Least Common Multiple of 11261 and 11277?
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 11261 and 11277 is 126990297.
LCM(11261,11277) = 126990297
Least Common Multiple of 11261 and 11277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11261 and 11277, than apply into the LCM equation.
GCF(11261,11277) = 1
LCM(11261,11277) = ( 11261 × 11277) / 1
LCM(11261,11277) = 126990297 / 1
LCM(11261,11277) = 126990297
Least Common Multiple (LCM) of 11261 and 11277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11261 and 11277. First we will calculate the prime factors of 11261 and 11277.
Prime Factorization of 11261
Prime factors of 11261 are 11261. Prime factorization of 11261 in exponential form is:
11261 = 112611
Prime Factorization of 11277
Prime factors of 11277 are 3, 7, 179. Prime factorization of 11277 in exponential form is:
11277 = 32 × 71 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 11261 and 11277.
LCM(11261,11277) = 112611 × 32 × 71 × 1791
LCM(11261,11277) = 126990297
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