What is the Least Common Multiple of 50923 and 50927?
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 50923 and 50927 is 2593355621.
LCM(50923,50927) = 2593355621
Least Common Multiple of 50923 and 50927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50923 and 50927, than apply into the LCM equation.
GCF(50923,50927) = 1
LCM(50923,50927) = ( 50923 × 50927) / 1
LCM(50923,50927) = 2593355621 / 1
LCM(50923,50927) = 2593355621
Least Common Multiple (LCM) of 50923 and 50927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50923 and 50927. First we will calculate the prime factors of 50923 and 50927.
Prime Factorization of 50923
Prime factors of 50923 are 50923. Prime factorization of 50923 in exponential form is:
50923 = 509231
Prime Factorization of 50927
Prime factors of 50927 are 127, 401. Prime factorization of 50927 in exponential form is:
50927 = 1271 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 50923 and 50927.
LCM(50923,50927) = 509231 × 1271 × 4011
LCM(50923,50927) = 2593355621
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