What is the Least Common Multiple of 52930 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 52930 and 52934 is 1400898310.
LCM(52930,52934) = 1400898310
Least Common Multiple of 52930 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 52930 and 52934, than apply into the LCM equation.
GCF(52930,52934) = 2
LCM(52930,52934) = ( 52930 × 52934) / 2
LCM(52930,52934) = 2801796620 / 2
LCM(52930,52934) = 1400898310
Least Common Multiple (LCM) of 52930 and 52934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52930 and 52934. First we will calculate the prime factors of 52930 and 52934.
Prime Factorization of 52930
Prime factors of 52930 are 2, 5, 67, 79. Prime factorization of 52930 in exponential form is:
52930 = 21 × 51 × 671 × 791
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 52930 and 52934.
LCM(52930,52934) = 21 × 51 × 671 × 791 × 71 × 191 × 1991
LCM(52930,52934) = 1400898310
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