What is the Least Common Multiple of 276 and 296?
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 276 and 296 is 20424.
LCM(276,296) = 20424
Least Common Multiple of 276 and 296 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 276 and 296, than apply into the LCM equation.
GCF(276,296) = 4
LCM(276,296) = ( 276 × 296) / 4
LCM(276,296) = 81696 / 4
LCM(276,296) = 20424
Least Common Multiple (LCM) of 276 and 296 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 276 and 296. First we will calculate the prime factors of 276 and 296.
Prime Factorization of 276
Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:
276 = 22 × 31 × 231
Prime Factorization of 296
Prime factors of 296 are 2, 37. Prime factorization of 296 in exponential form is:
296 = 23 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 276 and 296.
LCM(276,296) = 23 × 31 × 231 × 371
LCM(276,296) = 20424
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