What is the Least Common Multiple of 50177 and 50187?
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 50177 and 50187 is 2518233099.
LCM(50177,50187) = 2518233099
Least Common Multiple of 50177 and 50187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50177 and 50187, than apply into the LCM equation.
GCF(50177,50187) = 1
LCM(50177,50187) = ( 50177 × 50187) / 1
LCM(50177,50187) = 2518233099 / 1
LCM(50177,50187) = 2518233099
Least Common Multiple (LCM) of 50177 and 50187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50177 and 50187. First we will calculate the prime factors of 50177 and 50187.
Prime Factorization of 50177
Prime factors of 50177 are 50177. Prime factorization of 50177 in exponential form is:
50177 = 501771
Prime Factorization of 50187
Prime factors of 50187 are 3, 16729. Prime factorization of 50187 in exponential form is:
50187 = 31 × 167291
Now multiplying the highest exponent prime factors to calculate the LCM of 50177 and 50187.
LCM(50177,50187) = 501771 × 31 × 167291
LCM(50177,50187) = 2518233099
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