What is the Least Common Multiple of 256 and 268?
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 256 and 268 is 17152.
LCM(256,268) = 17152
Least Common Multiple of 256 and 268 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 256 and 268, than apply into the LCM equation.
GCF(256,268) = 4
LCM(256,268) = ( 256 × 268) / 4
LCM(256,268) = 68608 / 4
LCM(256,268) = 17152
Least Common Multiple (LCM) of 256 and 268 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 256 and 268. First we will calculate the prime factors of 256 and 268.
Prime Factorization of 256
Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:
256 = 28
Prime Factorization of 268
Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:
268 = 22 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 256 and 268.
LCM(256,268) = 28 × 671
LCM(256,268) = 17152
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Related Least Common Multiples of 268
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