What is the Least Common Multiple of 32585 and 32605?
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 32585 and 32605 is 212486785.
LCM(32585,32605) = 212486785
Least Common Multiple of 32585 and 32605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32585 and 32605, than apply into the LCM equation.
GCF(32585,32605) = 5
LCM(32585,32605) = ( 32585 × 32605) / 5
LCM(32585,32605) = 1062433925 / 5
LCM(32585,32605) = 212486785
Least Common Multiple (LCM) of 32585 and 32605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32585 and 32605. First we will calculate the prime factors of 32585 and 32605.
Prime Factorization of 32585
Prime factors of 32585 are 5, 7, 19. Prime factorization of 32585 in exponential form is:
32585 = 51 × 73 × 191
Prime Factorization of 32605
Prime factors of 32605 are 5, 6521. Prime factorization of 32605 in exponential form is:
32605 = 51 × 65211
Now multiplying the highest exponent prime factors to calculate the LCM of 32585 and 32605.
LCM(32585,32605) = 51 × 73 × 191 × 65211
LCM(32585,32605) = 212486785
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