What is the Least Common Multiple of 50321 and 50325?
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 50321 and 50325 is 2532404325.
LCM(50321,50325) = 2532404325
Least Common Multiple of 50321 and 50325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50321 and 50325, than apply into the LCM equation.
GCF(50321,50325) = 1
LCM(50321,50325) = ( 50321 × 50325) / 1
LCM(50321,50325) = 2532404325 / 1
LCM(50321,50325) = 2532404325
Least Common Multiple (LCM) of 50321 and 50325 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50321 and 50325. First we will calculate the prime factors of 50321 and 50325.
Prime Factorization of 50321
Prime factors of 50321 are 50321. Prime factorization of 50321 in exponential form is:
50321 = 503211
Prime Factorization of 50325
Prime factors of 50325 are 3, 5, 11, 61. Prime factorization of 50325 in exponential form is:
50325 = 31 × 52 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 50321 and 50325.
LCM(50321,50325) = 503211 × 31 × 52 × 111 × 611
LCM(50321,50325) = 2532404325
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