What is the Least Common Multiple of 52921 and 52935?
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 52921 and 52935 is 2801373135.
LCM(52921,52935) = 2801373135
Least Common Multiple of 52921 and 52935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52921 and 52935, than apply into the LCM equation.
GCF(52921,52935) = 1
LCM(52921,52935) = ( 52921 × 52935) / 1
LCM(52921,52935) = 2801373135 / 1
LCM(52921,52935) = 2801373135
Least Common Multiple (LCM) of 52921 and 52935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52921 and 52935. First we will calculate the prime factors of 52921 and 52935.
Prime Factorization of 52921
Prime factors of 52921 are 11, 17, 283. Prime factorization of 52921 in exponential form is:
52921 = 111 × 171 × 2831
Prime Factorization of 52935
Prime factors of 52935 are 3, 5, 3529. Prime factorization of 52935 in exponential form is:
52935 = 31 × 51 × 35291
Now multiplying the highest exponent prime factors to calculate the LCM of 52921 and 52935.
LCM(52921,52935) = 111 × 171 × 2831 × 31 × 51 × 35291
LCM(52921,52935) = 2801373135
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