What is the Least Common Multiple of 228 and 233?
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 228 and 233 is 53124.
LCM(228,233) = 53124
Least Common Multiple of 228 and 233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 228 and 233, than apply into the LCM equation.
GCF(228,233) = 1
LCM(228,233) = ( 228 × 233) / 1
LCM(228,233) = 53124 / 1
LCM(228,233) = 53124
Least Common Multiple (LCM) of 228 and 233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 233. First we will calculate the prime factors of 228 and 233.
Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Prime Factorization of 233
Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:
233 = 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 228 and 233.
LCM(228,233) = 22 × 31 × 191 × 2331
LCM(228,233) = 53124
Related Least Common Multiples of 228
- LCM of 228 and 232
- LCM of 228 and 233
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Related Least Common Multiples of 233
- LCM of 233 and 237
- LCM of 233 and 238
- LCM of 233 and 239
- LCM of 233 and 240
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