What is the Least Common Multiple of 241 and 259?
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 241 and 259 is 62419.
LCM(241,259) = 62419
Least Common Multiple of 241 and 259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 241 and 259, than apply into the LCM equation.
GCF(241,259) = 1
LCM(241,259) = ( 241 × 259) / 1
LCM(241,259) = 62419 / 1
LCM(241,259) = 62419
Least Common Multiple (LCM) of 241 and 259 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 259. First we will calculate the prime factors of 241 and 259.
Prime Factorization of 241
Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:
241 = 2411
Prime Factorization of 259
Prime factors of 259 are 7, 37. Prime factorization of 259 in exponential form is:
259 = 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 259.
LCM(241,259) = 2411 × 71 × 371
LCM(241,259) = 62419
Related Least Common Multiples of 241
- LCM of 241 and 245
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- LCM of 241 and 248
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Related Least Common Multiples of 259
- LCM of 259 and 263
- LCM of 259 and 264
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- LCM of 259 and 266
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