What is the Least Common Multiple of 50153 and 50161?
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 50153 and 50161 is 2515724633.
LCM(50153,50161) = 2515724633
Least Common Multiple of 50153 and 50161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50153 and 50161, than apply into the LCM equation.
GCF(50153,50161) = 1
LCM(50153,50161) = ( 50153 × 50161) / 1
LCM(50153,50161) = 2515724633 / 1
LCM(50153,50161) = 2515724633
Least Common Multiple (LCM) of 50153 and 50161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50153 and 50161. First we will calculate the prime factors of 50153 and 50161.
Prime Factorization of 50153
Prime factors of 50153 are 50153. Prime factorization of 50153 in exponential form is:
50153 = 501531
Prime Factorization of 50161
Prime factors of 50161 are 103, 487. Prime factorization of 50161 in exponential form is:
50161 = 1031 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 50153 and 50161.
LCM(50153,50161) = 501531 × 1031 × 4871
LCM(50153,50161) = 2515724633
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