What is the Least Common Multiple of 11735 and 11746?
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 11735 and 11746 is 137839310.
LCM(11735,11746) = 137839310
Least Common Multiple of 11735 and 11746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11735 and 11746, than apply into the LCM equation.
GCF(11735,11746) = 1
LCM(11735,11746) = ( 11735 × 11746) / 1
LCM(11735,11746) = 137839310 / 1
LCM(11735,11746) = 137839310
Least Common Multiple (LCM) of 11735 and 11746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11735 and 11746. First we will calculate the prime factors of 11735 and 11746.
Prime Factorization of 11735
Prime factors of 11735 are 5, 2347. Prime factorization of 11735 in exponential form is:
11735 = 51 × 23471
Prime Factorization of 11746
Prime factors of 11746 are 2, 7, 839. Prime factorization of 11746 in exponential form is:
11746 = 21 × 71 × 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 11735 and 11746.
LCM(11735,11746) = 51 × 23471 × 21 × 71 × 8391
LCM(11735,11746) = 137839310
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