What is the Least Common Multiple of 64600 and 64605?
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 64600 and 64605 is 834696600.
LCM(64600,64605) = 834696600
Least Common Multiple of 64600 and 64605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64600 and 64605, than apply into the LCM equation.
GCF(64600,64605) = 5
LCM(64600,64605) = ( 64600 × 64605) / 5
LCM(64600,64605) = 4173483000 / 5
LCM(64600,64605) = 834696600
Least Common Multiple (LCM) of 64600 and 64605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64600 and 64605. First we will calculate the prime factors of 64600 and 64605.
Prime Factorization of 64600
Prime factors of 64600 are 2, 5, 17, 19. Prime factorization of 64600 in exponential form is:
64600 = 23 × 52 × 171 × 191
Prime Factorization of 64605
Prime factors of 64605 are 3, 5, 59, 73. Prime factorization of 64605 in exponential form is:
64605 = 31 × 51 × 591 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 64600 and 64605.
LCM(64600,64605) = 23 × 52 × 171 × 191 × 31 × 591 × 731
LCM(64600,64605) = 834696600
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