What is the Least Common Multiple of 55384 and 55394?
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 55384 and 55394 is 1533970648.
LCM(55384,55394) = 1533970648
Least Common Multiple of 55384 and 55394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55384 and 55394, than apply into the LCM equation.
GCF(55384,55394) = 2
LCM(55384,55394) = ( 55384 × 55394) / 2
LCM(55384,55394) = 3067941296 / 2
LCM(55384,55394) = 1533970648
Least Common Multiple (LCM) of 55384 and 55394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55384 and 55394. First we will calculate the prime factors of 55384 and 55394.
Prime Factorization of 55384
Prime factors of 55384 are 2, 7, 23, 43. Prime factorization of 55384 in exponential form is:
55384 = 23 × 71 × 231 × 431
Prime Factorization of 55394
Prime factors of 55394 are 2, 27697. Prime factorization of 55394 in exponential form is:
55394 = 21 × 276971
Now multiplying the highest exponent prime factors to calculate the LCM of 55384 and 55394.
LCM(55384,55394) = 23 × 71 × 231 × 431 × 276971
LCM(55384,55394) = 1533970648
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