What is the Least Common Multiple of 11739 and 11745?
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 11739 and 11745 is 45958185.
LCM(11739,11745) = 45958185
Least Common Multiple of 11739 and 11745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11739 and 11745, than apply into the LCM equation.
GCF(11739,11745) = 3
LCM(11739,11745) = ( 11739 × 11745) / 3
LCM(11739,11745) = 137874555 / 3
LCM(11739,11745) = 45958185
Least Common Multiple (LCM) of 11739 and 11745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11739 and 11745. First we will calculate the prime factors of 11739 and 11745.
Prime Factorization of 11739
Prime factors of 11739 are 3, 7, 13, 43. Prime factorization of 11739 in exponential form is:
11739 = 31 × 71 × 131 × 431
Prime Factorization of 11745
Prime factors of 11745 are 3, 5, 29. Prime factorization of 11745 in exponential form is:
11745 = 34 × 51 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 11739 and 11745.
LCM(11739,11745) = 34 × 71 × 131 × 431 × 51 × 291
LCM(11739,11745) = 45958185
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Related Least Common Multiples of 11745
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