What is the Least Common Multiple of 279 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 279 and 284 is 79236.
LCM(279,284) = 79236
Least Common Multiple of 279 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 279 and 284, than apply into the LCM equation.
GCF(279,284) = 1
LCM(279,284) = ( 279 × 284) / 1
LCM(279,284) = 79236 / 1
LCM(279,284) = 79236
Least Common Multiple (LCM) of 279 and 284 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 284. First we will calculate the prime factors of 279 and 284.
Prime Factorization of 279
Prime factors of 279 are 3, 31. Prime factorization of 279 in exponential form is:
279 = 32 × 311
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 279 and 284.
LCM(279,284) = 32 × 311 × 22 × 711
LCM(279,284) = 79236
Related Least Common Multiples of 279
- LCM of 279 and 283
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Related Least Common Multiples of 284
- LCM of 284 and 288
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