What is the Least Common Multiple of 193 and 209?
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 193 and 209 is 40337.
LCM(193,209) = 40337
Least Common Multiple of 193 and 209 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 193 and 209, than apply into the LCM equation.
GCF(193,209) = 1
LCM(193,209) = ( 193 × 209) / 1
LCM(193,209) = 40337 / 1
LCM(193,209) = 40337
Least Common Multiple (LCM) of 193 and 209 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 193 and 209. First we will calculate the prime factors of 193 and 209.
Prime Factorization of 193
Prime factors of 193 are 193. Prime factorization of 193 in exponential form is:
193 = 1931
Prime Factorization of 209
Prime factors of 209 are 11, 19. Prime factorization of 209 in exponential form is:
209 = 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 193 and 209.
LCM(193,209) = 1931 × 111 × 191
LCM(193,209) = 40337
Related Least Common Multiples of 193
- LCM of 193 and 197
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- LCM of 193 and 200
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Related Least Common Multiples of 209
- LCM of 209 and 213
- LCM of 209 and 214
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