What is the Least Common Multiple of 50110 and 50129?
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 50110 and 50129 is 2511964190.
LCM(50110,50129) = 2511964190
Least Common Multiple of 50110 and 50129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50110 and 50129, than apply into the LCM equation.
GCF(50110,50129) = 1
LCM(50110,50129) = ( 50110 × 50129) / 1
LCM(50110,50129) = 2511964190 / 1
LCM(50110,50129) = 2511964190
Least Common Multiple (LCM) of 50110 and 50129 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50110 and 50129. First we will calculate the prime factors of 50110 and 50129.
Prime Factorization of 50110
Prime factors of 50110 are 2, 5, 5011. Prime factorization of 50110 in exponential form is:
50110 = 21 × 51 × 50111
Prime Factorization of 50129
Prime factors of 50129 are 50129. Prime factorization of 50129 in exponential form is:
50129 = 501291
Now multiplying the highest exponent prime factors to calculate the LCM of 50110 and 50129.
LCM(50110,50129) = 21 × 51 × 50111 × 501291
LCM(50110,50129) = 2511964190
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