What is the Least Common Multiple of 279 and 291?
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 291 is 27063.
LCM(279,291) = 27063
Least Common Multiple of 279 and 291 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 291, than apply into the LCM equation.
GCF(279,291) = 3
LCM(279,291) = ( 279 × 291) / 3
LCM(279,291) = 81189 / 3
LCM(279,291) = 27063
Least Common Multiple (LCM) of 279 and 291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 279 and 291. First we will calculate the prime factors of 279 and 291.
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 291
Prime factors of 291 are 3, 97. Prime factorization of 291 in exponential form is:
291 = 31 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 279 and 291.
LCM(279,291) = 32 × 311 × 971
LCM(279,291) = 27063
Related Least Common Multiples of 279
- LCM of 279 and 283
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Related Least Common Multiples of 291
- LCM of 291 and 295
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