What is the Least Common Multiple of 50918 and 50935?
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 50918 and 50935 is 2593508330.
LCM(50918,50935) = 2593508330
Least Common Multiple of 50918 and 50935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50918 and 50935, than apply into the LCM equation.
GCF(50918,50935) = 1
LCM(50918,50935) = ( 50918 × 50935) / 1
LCM(50918,50935) = 2593508330 / 1
LCM(50918,50935) = 2593508330
Least Common Multiple (LCM) of 50918 and 50935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50918 and 50935. First we will calculate the prime factors of 50918 and 50935.
Prime Factorization of 50918
Prime factors of 50918 are 2, 7, 3637. Prime factorization of 50918 in exponential form is:
50918 = 21 × 71 × 36371
Prime Factorization of 50935
Prime factors of 50935 are 5, 61, 167. Prime factorization of 50935 in exponential form is:
50935 = 51 × 611 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 50918 and 50935.
LCM(50918,50935) = 21 × 71 × 36371 × 51 × 611 × 1671
LCM(50918,50935) = 2593508330
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