What is the Least Common Multiple of 50658 and 50665?
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 50658 and 50665 is 2566587570.
LCM(50658,50665) = 2566587570
Least Common Multiple of 50658 and 50665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50658 and 50665, than apply into the LCM equation.
GCF(50658,50665) = 1
LCM(50658,50665) = ( 50658 × 50665) / 1
LCM(50658,50665) = 2566587570 / 1
LCM(50658,50665) = 2566587570
Least Common Multiple (LCM) of 50658 and 50665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50658 and 50665. First we will calculate the prime factors of 50658 and 50665.
Prime Factorization of 50658
Prime factors of 50658 are 2, 3, 8443. Prime factorization of 50658 in exponential form is:
50658 = 21 × 31 × 84431
Prime Factorization of 50665
Prime factors of 50665 are 5, 10133. Prime factorization of 50665 in exponential form is:
50665 = 51 × 101331
Now multiplying the highest exponent prime factors to calculate the LCM of 50658 and 50665.
LCM(50658,50665) = 21 × 31 × 84431 × 51 × 101331
LCM(50658,50665) = 2566587570
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