What is the Least Common Multiple of 55483 and 55488?
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 55483 and 55488 is 3078640704.
LCM(55483,55488) = 3078640704
Least Common Multiple of 55483 and 55488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55483 and 55488, than apply into the LCM equation.
GCF(55483,55488) = 1
LCM(55483,55488) = ( 55483 × 55488) / 1
LCM(55483,55488) = 3078640704 / 1
LCM(55483,55488) = 3078640704
Least Common Multiple (LCM) of 55483 and 55488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55483 and 55488. First we will calculate the prime factors of 55483 and 55488.
Prime Factorization of 55483
Prime factors of 55483 are 113, 491. Prime factorization of 55483 in exponential form is:
55483 = 1131 × 4911
Prime Factorization of 55488
Prime factors of 55488 are 2, 3, 17. Prime factorization of 55488 in exponential form is:
55488 = 26 × 31 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 55483 and 55488.
LCM(55483,55488) = 1131 × 4911 × 26 × 31 × 172
LCM(55483,55488) = 3078640704
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