What is the Least Common Multiple of 55447 and 55467?
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 55447 and 55467 is 3075478749.
LCM(55447,55467) = 3075478749
Least Common Multiple of 55447 and 55467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55447 and 55467, than apply into the LCM equation.
GCF(55447,55467) = 1
LCM(55447,55467) = ( 55447 × 55467) / 1
LCM(55447,55467) = 3075478749 / 1
LCM(55447,55467) = 3075478749
Least Common Multiple (LCM) of 55447 and 55467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55447 and 55467. First we will calculate the prime factors of 55447 and 55467.
Prime Factorization of 55447
Prime factors of 55447 are 7, 89. Prime factorization of 55447 in exponential form is:
55447 = 71 × 892
Prime Factorization of 55467
Prime factors of 55467 are 3, 6163. Prime factorization of 55467 in exponential form is:
55467 = 32 × 61631
Now multiplying the highest exponent prime factors to calculate the LCM of 55447 and 55467.
LCM(55447,55467) = 71 × 892 × 32 × 61631
LCM(55447,55467) = 3075478749
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