What is the Least Common Multiple of 59285 and 59305?
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 59285 and 59305 is 703179385.
LCM(59285,59305) = 703179385
Least Common Multiple of 59285 and 59305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59285 and 59305, than apply into the LCM equation.
GCF(59285,59305) = 5
LCM(59285,59305) = ( 59285 × 59305) / 5
LCM(59285,59305) = 3515896925 / 5
LCM(59285,59305) = 703179385
Least Common Multiple (LCM) of 59285 and 59305 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59285 and 59305. First we will calculate the prime factors of 59285 and 59305.
Prime Factorization of 59285
Prime factors of 59285 are 5, 71, 167. Prime factorization of 59285 in exponential form is:
59285 = 51 × 711 × 1671
Prime Factorization of 59305
Prime factors of 59305 are 5, 29, 409. Prime factorization of 59305 in exponential form is:
59305 = 51 × 291 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 59285 and 59305.
LCM(59285,59305) = 51 × 711 × 1671 × 291 × 4091
LCM(59285,59305) = 703179385
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