What is the Least Common Multiple of 53555 and 53559?
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 53555 and 53559 is 2868352245.
LCM(53555,53559) = 2868352245
Least Common Multiple of 53555 and 53559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53555 and 53559, than apply into the LCM equation.
GCF(53555,53559) = 1
LCM(53555,53559) = ( 53555 × 53559) / 1
LCM(53555,53559) = 2868352245 / 1
LCM(53555,53559) = 2868352245
Least Common Multiple (LCM) of 53555 and 53559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53555 and 53559. First we will calculate the prime factors of 53555 and 53559.
Prime Factorization of 53555
Prime factors of 53555 are 5, 10711. Prime factorization of 53555 in exponential form is:
53555 = 51 × 107111
Prime Factorization of 53559
Prime factors of 53559 are 3, 11, 541. Prime factorization of 53559 in exponential form is:
53559 = 32 × 111 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 53555 and 53559.
LCM(53555,53559) = 51 × 107111 × 32 × 111 × 5411
LCM(53555,53559) = 2868352245
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