What is the Least Common Multiple of 206 and 213?
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 206 and 213 is 43878.
LCM(206,213) = 43878
Least Common Multiple of 206 and 213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 206 and 213, than apply into the LCM equation.
GCF(206,213) = 1
LCM(206,213) = ( 206 × 213) / 1
LCM(206,213) = 43878 / 1
LCM(206,213) = 43878
Least Common Multiple (LCM) of 206 and 213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 206 and 213. First we will calculate the prime factors of 206 and 213.
Prime Factorization of 206
Prime factors of 206 are 2, 103. Prime factorization of 206 in exponential form is:
206 = 21 × 1031
Prime Factorization of 213
Prime factors of 213 are 3, 71. Prime factorization of 213 in exponential form is:
213 = 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 206 and 213.
LCM(206,213) = 21 × 1031 × 31 × 711
LCM(206,213) = 43878
Related Least Common Multiples of 206
- LCM of 206 and 210
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- LCM of 206 and 212
- LCM of 206 and 213
- LCM of 206 and 214
- LCM of 206 and 215
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Related Least Common Multiples of 213
- LCM of 213 and 217
- LCM of 213 and 218
- LCM of 213 and 219
- LCM of 213 and 220
- LCM of 213 and 221
- LCM of 213 and 222
- LCM of 213 and 223
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