What is the Least Common Multiple of 50447 and 50467?
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 50447 and 50467 is 2545908749.
LCM(50447,50467) = 2545908749
Least Common Multiple of 50447 and 50467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50447 and 50467, than apply into the LCM equation.
GCF(50447,50467) = 1
LCM(50447,50467) = ( 50447 × 50467) / 1
LCM(50447,50467) = 2545908749 / 1
LCM(50447,50467) = 2545908749
Least Common Multiple (LCM) of 50447 and 50467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50447 and 50467. First we will calculate the prime factors of 50447 and 50467.
Prime Factorization of 50447
Prime factors of 50447 are 61, 827. Prime factorization of 50447 in exponential form is:
50447 = 611 × 8271
Prime Factorization of 50467
Prime factors of 50467 are 109, 463. Prime factorization of 50467 in exponential form is:
50467 = 1091 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 50447 and 50467.
LCM(50447,50467) = 611 × 8271 × 1091 × 4631
LCM(50447,50467) = 2545908749
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