What is the Least Common Multiple of 11694 and 11701?
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 11694 and 11701 is 136831494.
LCM(11694,11701) = 136831494
Least Common Multiple of 11694 and 11701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11694 and 11701, than apply into the LCM equation.
GCF(11694,11701) = 1
LCM(11694,11701) = ( 11694 × 11701) / 1
LCM(11694,11701) = 136831494 / 1
LCM(11694,11701) = 136831494
Least Common Multiple (LCM) of 11694 and 11701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11694 and 11701. First we will calculate the prime factors of 11694 and 11701.
Prime Factorization of 11694
Prime factors of 11694 are 2, 3, 1949. Prime factorization of 11694 in exponential form is:
11694 = 21 × 31 × 19491
Prime Factorization of 11701
Prime factors of 11701 are 11701. Prime factorization of 11701 in exponential form is:
11701 = 117011
Now multiplying the highest exponent prime factors to calculate the LCM of 11694 and 11701.
LCM(11694,11701) = 21 × 31 × 19491 × 117011
LCM(11694,11701) = 136831494
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