What is the Least Common Multiple of 50434 and 50439?
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 50434 and 50439 is 2543840526.
LCM(50434,50439) = 2543840526
Least Common Multiple of 50434 and 50439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50434 and 50439, than apply into the LCM equation.
GCF(50434,50439) = 1
LCM(50434,50439) = ( 50434 × 50439) / 1
LCM(50434,50439) = 2543840526 / 1
LCM(50434,50439) = 2543840526
Least Common Multiple (LCM) of 50434 and 50439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50434 and 50439. First we will calculate the prime factors of 50434 and 50439.
Prime Factorization of 50434
Prime factors of 50434 are 2, 151, 167. Prime factorization of 50434 in exponential form is:
50434 = 21 × 1511 × 1671
Prime Factorization of 50439
Prime factors of 50439 are 3, 17, 23, 43. Prime factorization of 50439 in exponential form is:
50439 = 31 × 171 × 231 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 50434 and 50439.
LCM(50434,50439) = 21 × 1511 × 1671 × 31 × 171 × 231 × 431
LCM(50434,50439) = 2543840526
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