What is the Least Common Multiple of 55884 and 55903?
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 55884 and 55903 is 3124083252.
LCM(55884,55903) = 3124083252
Least Common Multiple of 55884 and 55903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55884 and 55903, than apply into the LCM equation.
GCF(55884,55903) = 1
LCM(55884,55903) = ( 55884 × 55903) / 1
LCM(55884,55903) = 3124083252 / 1
LCM(55884,55903) = 3124083252
Least Common Multiple (LCM) of 55884 and 55903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55884 and 55903. First we will calculate the prime factors of 55884 and 55903.
Prime Factorization of 55884
Prime factors of 55884 are 2, 3, 4657. Prime factorization of 55884 in exponential form is:
55884 = 22 × 31 × 46571
Prime Factorization of 55903
Prime factors of 55903 are 55903. Prime factorization of 55903 in exponential form is:
55903 = 559031
Now multiplying the highest exponent prime factors to calculate the LCM of 55884 and 55903.
LCM(55884,55903) = 22 × 31 × 46571 × 559031
LCM(55884,55903) = 3124083252
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