What is the Least Common Multiple of 55529 and 55533?
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 55529 and 55533 is 3083691957.
LCM(55529,55533) = 3083691957
Least Common Multiple of 55529 and 55533 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55529 and 55533, than apply into the LCM equation.
GCF(55529,55533) = 1
LCM(55529,55533) = ( 55529 × 55533) / 1
LCM(55529,55533) = 3083691957 / 1
LCM(55529,55533) = 3083691957
Least Common Multiple (LCM) of 55529 and 55533 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55529 and 55533. First we will calculate the prime factors of 55529 and 55533.
Prime Factorization of 55529
Prime factors of 55529 are 55529. Prime factorization of 55529 in exponential form is:
55529 = 555291
Prime Factorization of 55533
Prime factors of 55533 are 3, 107, 173. Prime factorization of 55533 in exponential form is:
55533 = 31 × 1071 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 55529 and 55533.
LCM(55529,55533) = 555291 × 31 × 1071 × 1731
LCM(55529,55533) = 3083691957
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