What is the Least Common Multiple of 217 and 228?
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 217 and 228 is 49476.
LCM(217,228) = 49476
Least Common Multiple of 217 and 228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 217 and 228, than apply into the LCM equation.
GCF(217,228) = 1
LCM(217,228) = ( 217 × 228) / 1
LCM(217,228) = 49476 / 1
LCM(217,228) = 49476
Least Common Multiple (LCM) of 217 and 228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 217 and 228. First we will calculate the prime factors of 217 and 228.
Prime Factorization of 217
Prime factors of 217 are 7, 31. Prime factorization of 217 in exponential form is:
217 = 71 × 311
Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 217 and 228.
LCM(217,228) = 71 × 311 × 22 × 31 × 191
LCM(217,228) = 49476
Related Least Common Multiples of 217
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Related Least Common Multiples of 228
- LCM of 228 and 232
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