What is the Least Common Multiple of 10206 and 10211?
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 10206 and 10211 is 104213466.
LCM(10206,10211) = 104213466
Least Common Multiple of 10206 and 10211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10206 and 10211, than apply into the LCM equation.
GCF(10206,10211) = 1
LCM(10206,10211) = ( 10206 × 10211) / 1
LCM(10206,10211) = 104213466 / 1
LCM(10206,10211) = 104213466
Least Common Multiple (LCM) of 10206 and 10211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10206 and 10211. First we will calculate the prime factors of 10206 and 10211.
Prime Factorization of 10206
Prime factors of 10206 are 2, 3, 7. Prime factorization of 10206 in exponential form is:
10206 = 21 × 36 × 71
Prime Factorization of 10211
Prime factors of 10211 are 10211. Prime factorization of 10211 in exponential form is:
10211 = 102111
Now multiplying the highest exponent prime factors to calculate the LCM of 10206 and 10211.
LCM(10206,10211) = 21 × 36 × 71 × 102111
LCM(10206,10211) = 104213466
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