What is the Least Common Multiple of 59555 and 59559?
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 59555 and 59559 is 3547036245.
LCM(59555,59559) = 3547036245
Least Common Multiple of 59555 and 59559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59555 and 59559, than apply into the LCM equation.
GCF(59555,59559) = 1
LCM(59555,59559) = ( 59555 × 59559) / 1
LCM(59555,59559) = 3547036245 / 1
LCM(59555,59559) = 3547036245
Least Common Multiple (LCM) of 59555 and 59559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59555 and 59559. First we will calculate the prime factors of 59555 and 59559.
Prime Factorization of 59555
Prime factors of 59555 are 5, 43, 277. Prime factorization of 59555 in exponential form is:
59555 = 51 × 431 × 2771
Prime Factorization of 59559
Prime factors of 59559 are 3, 19853. Prime factorization of 59559 in exponential form is:
59559 = 31 × 198531
Now multiplying the highest exponent prime factors to calculate the LCM of 59555 and 59559.
LCM(59555,59559) = 51 × 431 × 2771 × 31 × 198531
LCM(59555,59559) = 3547036245
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