What is the Least Common Multiple of 64088 and 64099?
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 64088 and 64099 is 4107976712.
LCM(64088,64099) = 4107976712
Least Common Multiple of 64088 and 64099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64088 and 64099, than apply into the LCM equation.
GCF(64088,64099) = 1
LCM(64088,64099) = ( 64088 × 64099) / 1
LCM(64088,64099) = 4107976712 / 1
LCM(64088,64099) = 4107976712
Least Common Multiple (LCM) of 64088 and 64099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64088 and 64099. First we will calculate the prime factors of 64088 and 64099.
Prime Factorization of 64088
Prime factors of 64088 are 2, 8011. Prime factorization of 64088 in exponential form is:
64088 = 23 × 80111
Prime Factorization of 64099
Prime factors of 64099 are 7, 9157. Prime factorization of 64099 in exponential form is:
64099 = 71 × 91571
Now multiplying the highest exponent prime factors to calculate the LCM of 64088 and 64099.
LCM(64088,64099) = 23 × 80111 × 71 × 91571
LCM(64088,64099) = 4107976712
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