What is the Least Common Multiple of 284 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 284 and 291 is 82644.
LCM(284,291) = 82644
Least Common Multiple of 284 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 284 and 291, than apply into the LCM equation.
GCF(284,291) = 1
LCM(284,291) = ( 284 × 291) / 1
LCM(284,291) = 82644 / 1
LCM(284,291) = 82644
Least Common Multiple (LCM) of 284 and 291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 284 and 291. First we will calculate the prime factors of 284 and 291.
Prime Factorization of 284
Prime factors of 284 are 2, 71. Prime factorization of 284 in exponential form is:
284 = 22 × 711
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 284 and 291.
LCM(284,291) = 22 × 711 × 31 × 971
LCM(284,291) = 82644
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