What is the Least Common Multiple of 233 and 247?
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 247 is 57551.
LCM(233,247) = 57551
Least Common Multiple of 233 and 247 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 247, than apply into the LCM equation.
GCF(233,247) = 1
LCM(233,247) = ( 233 × 247) / 1
LCM(233,247) = 57551 / 1
LCM(233,247) = 57551
Least Common Multiple (LCM) of 233 and 247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 233 and 247. First we will calculate the prime factors of 233 and 247.
Prime Factorization of 233
Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:
233 = 2331
Prime Factorization of 247
Prime factors of 247 are 13, 19. Prime factorization of 247 in exponential form is:
247 = 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 233 and 247.
LCM(233,247) = 2331 × 131 × 191
LCM(233,247) = 57551
Related Least Common Multiples of 233
- LCM of 233 and 237
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- LCM of 233 and 247
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Related Least Common Multiples of 247
- LCM of 247 and 251
- LCM of 247 and 252
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- LCM of 247 and 254
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