What is the Least Common Multiple of 50893 and 50903?
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 50893 and 50903 is 2590606379.
LCM(50893,50903) = 2590606379
Least Common Multiple of 50893 and 50903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50893 and 50903, than apply into the LCM equation.
GCF(50893,50903) = 1
LCM(50893,50903) = ( 50893 × 50903) / 1
LCM(50893,50903) = 2590606379 / 1
LCM(50893,50903) = 2590606379
Least Common Multiple (LCM) of 50893 and 50903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50893 and 50903. First we will calculate the prime factors of 50893 and 50903.
Prime Factorization of 50893
Prime factors of 50893 are 50893. Prime factorization of 50893 in exponential form is:
50893 = 508931
Prime Factorization of 50903
Prime factors of 50903 are 109, 467. Prime factorization of 50903 in exponential form is:
50903 = 1091 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 50893 and 50903.
LCM(50893,50903) = 508931 × 1091 × 4671
LCM(50893,50903) = 2590606379
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