What is the Least Common Multiple of 229 and 235?
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 229 and 235 is 53815.
LCM(229,235) = 53815
Least Common Multiple of 229 and 235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 229 and 235, than apply into the LCM equation.
GCF(229,235) = 1
LCM(229,235) = ( 229 × 235) / 1
LCM(229,235) = 53815 / 1
LCM(229,235) = 53815
Least Common Multiple (LCM) of 229 and 235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 235. First we will calculate the prime factors of 229 and 235.
Prime Factorization of 229
Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:
229 = 2291
Prime Factorization of 235
Prime factors of 235 are 5, 47. Prime factorization of 235 in exponential form is:
235 = 51 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 229 and 235.
LCM(229,235) = 2291 × 51 × 471
LCM(229,235) = 53815
Related Least Common Multiples of 229
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Related Least Common Multiples of 235
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