What is the Least Common Multiple of 64507 and 64515?
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 64507 and 64515 is 4161669105.
LCM(64507,64515) = 4161669105
Least Common Multiple of 64507 and 64515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64507 and 64515, than apply into the LCM equation.
GCF(64507,64515) = 1
LCM(64507,64515) = ( 64507 × 64515) / 1
LCM(64507,64515) = 4161669105 / 1
LCM(64507,64515) = 4161669105
Least Common Multiple (LCM) of 64507 and 64515 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64507 and 64515. First we will calculate the prime factors of 64507 and 64515.
Prime Factorization of 64507
Prime factors of 64507 are 251, 257. Prime factorization of 64507 in exponential form is:
64507 = 2511 × 2571
Prime Factorization of 64515
Prime factors of 64515 are 3, 5, 11, 17, 23. Prime factorization of 64515 in exponential form is:
64515 = 31 × 51 × 111 × 171 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 64507 and 64515.
LCM(64507,64515) = 2511 × 2571 × 31 × 51 × 111 × 171 × 231
LCM(64507,64515) = 4161669105
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