What is the Least Common Multiple of 11711 and 11731?
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 11711 and 11731 is 137381741.
LCM(11711,11731) = 137381741
Least Common Multiple of 11711 and 11731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11711 and 11731, than apply into the LCM equation.
GCF(11711,11731) = 1
LCM(11711,11731) = ( 11711 × 11731) / 1
LCM(11711,11731) = 137381741 / 1
LCM(11711,11731) = 137381741
Least Common Multiple (LCM) of 11711 and 11731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11711 and 11731. First we will calculate the prime factors of 11711 and 11731.
Prime Factorization of 11711
Prime factors of 11711 are 7, 239. Prime factorization of 11711 in exponential form is:
11711 = 72 × 2391
Prime Factorization of 11731
Prime factors of 11731 are 11731. Prime factorization of 11731 in exponential form is:
11731 = 117311
Now multiplying the highest exponent prime factors to calculate the LCM of 11711 and 11731.
LCM(11711,11731) = 72 × 2391 × 117311
LCM(11711,11731) = 137381741
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