What is the Least Common Multiple of 55573 and 55593?
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 55573 and 55593 is 3089469789.
LCM(55573,55593) = 3089469789
Least Common Multiple of 55573 and 55593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55573 and 55593, than apply into the LCM equation.
GCF(55573,55593) = 1
LCM(55573,55593) = ( 55573 × 55593) / 1
LCM(55573,55593) = 3089469789 / 1
LCM(55573,55593) = 3089469789
Least Common Multiple (LCM) of 55573 and 55593 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55573 and 55593. First we will calculate the prime factors of 55573 and 55593.
Prime Factorization of 55573
Prime factors of 55573 are 7, 17, 467. Prime factorization of 55573 in exponential form is:
55573 = 71 × 171 × 4671
Prime Factorization of 55593
Prime factors of 55593 are 3, 29, 71. Prime factorization of 55593 in exponential form is:
55593 = 33 × 291 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 55573 and 55593.
LCM(55573,55593) = 71 × 171 × 4671 × 33 × 291 × 711
LCM(55573,55593) = 3089469789
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