What is the Least Common Multiple of 236 and 256?
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 236 and 256 is 15104.
LCM(236,256) = 15104
Least Common Multiple of 236 and 256 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 236 and 256, than apply into the LCM equation.
GCF(236,256) = 4
LCM(236,256) = ( 236 × 256) / 4
LCM(236,256) = 60416 / 4
LCM(236,256) = 15104
Least Common Multiple (LCM) of 236 and 256 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 236 and 256. First we will calculate the prime factors of 236 and 256.
Prime Factorization of 236
Prime factors of 236 are 2, 59. Prime factorization of 236 in exponential form is:
236 = 22 × 591
Prime Factorization of 256
Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:
256 = 28
Now multiplying the highest exponent prime factors to calculate the LCM of 236 and 256.
LCM(236,256) = 28 × 591
LCM(236,256) = 15104
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