What is the Least Common Multiple of 11936 and 11943?
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 11936 and 11943 is 142551648.
LCM(11936,11943) = 142551648
Least Common Multiple of 11936 and 11943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11936 and 11943, than apply into the LCM equation.
GCF(11936,11943) = 1
LCM(11936,11943) = ( 11936 × 11943) / 1
LCM(11936,11943) = 142551648 / 1
LCM(11936,11943) = 142551648
Least Common Multiple (LCM) of 11936 and 11943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11936 and 11943. First we will calculate the prime factors of 11936 and 11943.
Prime Factorization of 11936
Prime factors of 11936 are 2, 373. Prime factorization of 11936 in exponential form is:
11936 = 25 × 3731
Prime Factorization of 11943
Prime factors of 11943 are 3, 1327. Prime factorization of 11943 in exponential form is:
11943 = 32 × 13271
Now multiplying the highest exponent prime factors to calculate the LCM of 11936 and 11943.
LCM(11936,11943) = 25 × 3731 × 32 × 13271
LCM(11936,11943) = 142551648
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