What is the Least Common Multiple of 276 and 284?
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 284 is 19596.
LCM(276,284) = 19596
Least Common Multiple of 276 and 284 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 284, than apply into the LCM equation.
GCF(276,284) = 4
LCM(276,284) = ( 276 × 284) / 4
LCM(276,284) = 78384 / 4
LCM(276,284) = 19596
Least Common Multiple (LCM) of 276 and 284 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 276 and 284. First we will calculate the prime factors of 276 and 284.
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 284
Prime factors of 284 are 2, 71. Prime factorization of 284 in exponential form is:
284 = 22 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 276 and 284.
LCM(276,284) = 22 × 31 × 231 × 711
LCM(276,284) = 19596
Related Least Common Multiples of 276
- LCM of 276 and 280
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- LCM of 276 and 283
- LCM of 276 and 284
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Related Least Common Multiples of 284
- LCM of 284 and 288
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- LCM of 284 and 291
- LCM of 284 and 292
- LCM of 284 and 293
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- LCM of 284 and 295
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