What is the Least Common Multiple of 11690 and 11699?
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 11690 and 11699 is 136761310.
LCM(11690,11699) = 136761310
Least Common Multiple of 11690 and 11699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11690 and 11699, than apply into the LCM equation.
GCF(11690,11699) = 1
LCM(11690,11699) = ( 11690 × 11699) / 1
LCM(11690,11699) = 136761310 / 1
LCM(11690,11699) = 136761310
Least Common Multiple (LCM) of 11690 and 11699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11690 and 11699. First we will calculate the prime factors of 11690 and 11699.
Prime Factorization of 11690
Prime factors of 11690 are 2, 5, 7, 167. Prime factorization of 11690 in exponential form is:
11690 = 21 × 51 × 71 × 1671
Prime Factorization of 11699
Prime factors of 11699 are 11699. Prime factorization of 11699 in exponential form is:
11699 = 116991
Now multiplying the highest exponent prime factors to calculate the LCM of 11690 and 11699.
LCM(11690,11699) = 21 × 51 × 71 × 1671 × 116991
LCM(11690,11699) = 136761310
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