What is the Least Common Multiple of 64207 and 64226?
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 64207 and 64226 is 4123758782.
LCM(64207,64226) = 4123758782
Least Common Multiple of 64207 and 64226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64207 and 64226, than apply into the LCM equation.
GCF(64207,64226) = 1
LCM(64207,64226) = ( 64207 × 64226) / 1
LCM(64207,64226) = 4123758782 / 1
LCM(64207,64226) = 4123758782
Least Common Multiple (LCM) of 64207 and 64226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64207 and 64226. First we will calculate the prime factors of 64207 and 64226.
Prime Factorization of 64207
Prime factors of 64207 are 11, 13, 449. Prime factorization of 64207 in exponential form is:
64207 = 111 × 131 × 4491
Prime Factorization of 64226
Prime factors of 64226 are 2, 17, 1889. Prime factorization of 64226 in exponential form is:
64226 = 21 × 171 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 64207 and 64226.
LCM(64207,64226) = 111 × 131 × 4491 × 21 × 171 × 18891
LCM(64207,64226) = 4123758782
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