What is the Least Common Multiple of 29284 and 29291?
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 29284 and 29291 is 857757644.
LCM(29284,29291) = 857757644
Least Common Multiple of 29284 and 29291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29284 and 29291, than apply into the LCM equation.
GCF(29284,29291) = 1
LCM(29284,29291) = ( 29284 × 29291) / 1
LCM(29284,29291) = 857757644 / 1
LCM(29284,29291) = 857757644
Least Common Multiple (LCM) of 29284 and 29291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29284 and 29291. First we will calculate the prime factors of 29284 and 29291.
Prime Factorization of 29284
Prime factors of 29284 are 2, 7321. Prime factorization of 29284 in exponential form is:
29284 = 22 × 73211
Prime Factorization of 29291
Prime factors of 29291 are 17, 1723. Prime factorization of 29291 in exponential form is:
29291 = 171 × 17231
Now multiplying the highest exponent prime factors to calculate the LCM of 29284 and 29291.
LCM(29284,29291) = 22 × 73211 × 171 × 17231
LCM(29284,29291) = 857757644
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