What is the Least Common Multiple of 50927 and 50942?
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 50927 and 50942 is 2594323234.
LCM(50927,50942) = 2594323234
Least Common Multiple of 50927 and 50942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50927 and 50942, than apply into the LCM equation.
GCF(50927,50942) = 1
LCM(50927,50942) = ( 50927 × 50942) / 1
LCM(50927,50942) = 2594323234 / 1
LCM(50927,50942) = 2594323234
Least Common Multiple (LCM) of 50927 and 50942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50927 and 50942. First we will calculate the prime factors of 50927 and 50942.
Prime Factorization of 50927
Prime factors of 50927 are 127, 401. Prime factorization of 50927 in exponential form is:
50927 = 1271 × 4011
Prime Factorization of 50942
Prime factors of 50942 are 2, 25471. Prime factorization of 50942 in exponential form is:
50942 = 21 × 254711
Now multiplying the highest exponent prime factors to calculate the LCM of 50927 and 50942.
LCM(50927,50942) = 1271 × 4011 × 21 × 254711
LCM(50927,50942) = 2594323234
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