What is the Least Common Multiple of 36206 and 36210?
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 36206 and 36210 is 655509630.
LCM(36206,36210) = 655509630
Least Common Multiple of 36206 and 36210 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36206 and 36210, than apply into the LCM equation.
GCF(36206,36210) = 2
LCM(36206,36210) = ( 36206 × 36210) / 2
LCM(36206,36210) = 1311019260 / 2
LCM(36206,36210) = 655509630
Least Common Multiple (LCM) of 36206 and 36210 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36206 and 36210. First we will calculate the prime factors of 36206 and 36210.
Prime Factorization of 36206
Prime factors of 36206 are 2, 43, 421. Prime factorization of 36206 in exponential form is:
36206 = 21 × 431 × 4211
Prime Factorization of 36210
Prime factors of 36210 are 2, 3, 5, 17, 71. Prime factorization of 36210 in exponential form is:
36210 = 21 × 31 × 51 × 171 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 36206 and 36210.
LCM(36206,36210) = 21 × 431 × 4211 × 31 × 51 × 171 × 711
LCM(36206,36210) = 655509630
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