What is the Least Common Multiple of 50151 and 50170?
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 50151 and 50170 is 2516075670.
LCM(50151,50170) = 2516075670
Least Common Multiple of 50151 and 50170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50151 and 50170, than apply into the LCM equation.
GCF(50151,50170) = 1
LCM(50151,50170) = ( 50151 × 50170) / 1
LCM(50151,50170) = 2516075670 / 1
LCM(50151,50170) = 2516075670
Least Common Multiple (LCM) of 50151 and 50170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50151 and 50170. First we will calculate the prime factors of 50151 and 50170.
Prime Factorization of 50151
Prime factors of 50151 are 3, 73, 229. Prime factorization of 50151 in exponential form is:
50151 = 31 × 731 × 2291
Prime Factorization of 50170
Prime factors of 50170 are 2, 5, 29, 173. Prime factorization of 50170 in exponential form is:
50170 = 21 × 51 × 291 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 50151 and 50170.
LCM(50151,50170) = 31 × 731 × 2291 × 21 × 51 × 291 × 1731
LCM(50151,50170) = 2516075670
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