What is the Least Common Multiple of 50855 and 50869?
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 50855 and 50869 is 369563285.
LCM(50855,50869) = 369563285
Least Common Multiple of 50855 and 50869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50855 and 50869, than apply into the LCM equation.
GCF(50855,50869) = 7
LCM(50855,50869) = ( 50855 × 50869) / 7
LCM(50855,50869) = 2586942995 / 7
LCM(50855,50869) = 369563285
Least Common Multiple (LCM) of 50855 and 50869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50855 and 50869. First we will calculate the prime factors of 50855 and 50869.
Prime Factorization of 50855
Prime factors of 50855 are 5, 7, 1453. Prime factorization of 50855 in exponential form is:
50855 = 51 × 71 × 14531
Prime Factorization of 50869
Prime factors of 50869 are 7, 13, 43. Prime factorization of 50869 in exponential form is:
50869 = 71 × 132 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 50855 and 50869.
LCM(50855,50869) = 51 × 71 × 14531 × 132 × 431
LCM(50855,50869) = 369563285
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