What is the Least Common Multiple of 50163 and 50183?
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 50163 and 50183 is 2517329829.
LCM(50163,50183) = 2517329829
Least Common Multiple of 50163 and 50183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50163 and 50183, than apply into the LCM equation.
GCF(50163,50183) = 1
LCM(50163,50183) = ( 50163 × 50183) / 1
LCM(50163,50183) = 2517329829 / 1
LCM(50163,50183) = 2517329829
Least Common Multiple (LCM) of 50163 and 50183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50163 and 50183. First we will calculate the prime factors of 50163 and 50183.
Prime Factorization of 50163
Prime factors of 50163 are 3, 23, 727. Prime factorization of 50163 in exponential form is:
50163 = 31 × 231 × 7271
Prime Factorization of 50183
Prime factors of 50183 are 7, 67, 107. Prime factorization of 50183 in exponential form is:
50183 = 71 × 671 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 50163 and 50183.
LCM(50163,50183) = 31 × 231 × 7271 × 71 × 671 × 1071
LCM(50163,50183) = 2517329829
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