What is the Least Common Multiple of 52927 and 52934?
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 52927 and 52934 is 400233974.
LCM(52927,52934) = 400233974
Least Common Multiple of 52927 and 52934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52927 and 52934, than apply into the LCM equation.
GCF(52927,52934) = 7
LCM(52927,52934) = ( 52927 × 52934) / 7
LCM(52927,52934) = 2801637818 / 7
LCM(52927,52934) = 400233974
Least Common Multiple (LCM) of 52927 and 52934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52927 and 52934. First we will calculate the prime factors of 52927 and 52934.
Prime Factorization of 52927
Prime factors of 52927 are 7, 7561. Prime factorization of 52927 in exponential form is:
52927 = 71 × 75611
Prime Factorization of 52934
Prime factors of 52934 are 2, 7, 19, 199. Prime factorization of 52934 in exponential form is:
52934 = 21 × 71 × 191 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 52927 and 52934.
LCM(52927,52934) = 71 × 75611 × 21 × 191 × 1991
LCM(52927,52934) = 400233974
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