What is the Least Common Multiple of 235 and 245?
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 235 and 245 is 11515.
LCM(235,245) = 11515
Least Common Multiple of 235 and 245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 235 and 245, than apply into the LCM equation.
GCF(235,245) = 5
LCM(235,245) = ( 235 × 245) / 5
LCM(235,245) = 57575 / 5
LCM(235,245) = 11515
Least Common Multiple (LCM) of 235 and 245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 235 and 245. First we will calculate the prime factors of 235 and 245.
Prime Factorization of 235
Prime factors of 235 are 5, 47. Prime factorization of 235 in exponential form is:
235 = 51 × 471
Prime Factorization of 245
Prime factors of 245 are 5, 7. Prime factorization of 245 in exponential form is:
245 = 51 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 235 and 245.
LCM(235,245) = 51 × 471 × 72
LCM(235,245) = 11515
Related Least Common Multiples of 235
- LCM of 235 and 239
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- LCM of 235 and 242
- LCM of 235 and 243
- LCM of 235 and 244
- LCM of 235 and 245
- LCM of 235 and 246
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- LCM of 235 and 249
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Related Least Common Multiples of 245
- LCM of 245 and 249
- LCM of 245 and 250
- LCM of 245 and 251
- LCM of 245 and 252
- LCM of 245 and 253
- LCM of 245 and 254
- LCM of 245 and 255
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