What is the Least Common Multiple of 53551 and 53555?
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 53551 and 53555 is 2867923805.
LCM(53551,53555) = 2867923805
Least Common Multiple of 53551 and 53555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53551 and 53555, than apply into the LCM equation.
GCF(53551,53555) = 1
LCM(53551,53555) = ( 53551 × 53555) / 1
LCM(53551,53555) = 2867923805 / 1
LCM(53551,53555) = 2867923805
Least Common Multiple (LCM) of 53551 and 53555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53551 and 53555. First we will calculate the prime factors of 53551 and 53555.
Prime Factorization of 53551
Prime factors of 53551 are 53551. Prime factorization of 53551 in exponential form is:
53551 = 535511
Prime Factorization of 53555
Prime factors of 53555 are 5, 10711. Prime factorization of 53555 in exponential form is:
53555 = 51 × 107111
Now multiplying the highest exponent prime factors to calculate the LCM of 53551 and 53555.
LCM(53551,53555) = 535511 × 51 × 107111
LCM(53551,53555) = 2867923805
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