What is the Least Common Multiple of 233 and 248?
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 233 and 248 is 57784.
LCM(233,248) = 57784
Least Common Multiple of 233 and 248 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 233 and 248, than apply into the LCM equation.
GCF(233,248) = 1
LCM(233,248) = ( 233 × 248) / 1
LCM(233,248) = 57784 / 1
LCM(233,248) = 57784
Least Common Multiple (LCM) of 233 and 248 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 233 and 248. First we will calculate the prime factors of 233 and 248.
Prime Factorization of 233
Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:
233 = 2331
Prime Factorization of 248
Prime factors of 248 are 2, 31. Prime factorization of 248 in exponential form is:
248 = 23 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 233 and 248.
LCM(233,248) = 2331 × 23 × 311
LCM(233,248) = 57784
Related Least Common Multiples of 233
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- LCM of 233 and 247
- LCM of 233 and 248
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Related Least Common Multiples of 248
- LCM of 248 and 252
- LCM of 248 and 253
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