What is the Least Common Multiple of 11645 and 11650?
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 11645 and 11650 is 27132850.
LCM(11645,11650) = 27132850
Least Common Multiple of 11645 and 11650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11645 and 11650, than apply into the LCM equation.
GCF(11645,11650) = 5
LCM(11645,11650) = ( 11645 × 11650) / 5
LCM(11645,11650) = 135664250 / 5
LCM(11645,11650) = 27132850
Least Common Multiple (LCM) of 11645 and 11650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11645 and 11650. First we will calculate the prime factors of 11645 and 11650.
Prime Factorization of 11645
Prime factors of 11645 are 5, 17, 137. Prime factorization of 11645 in exponential form is:
11645 = 51 × 171 × 1371
Prime Factorization of 11650
Prime factors of 11650 are 2, 5, 233. Prime factorization of 11650 in exponential form is:
11650 = 21 × 52 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 11645 and 11650.
LCM(11645,11650) = 52 × 171 × 1371 × 21 × 2331
LCM(11645,11650) = 27132850
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