What is the Least Common Multiple of 52535 and 52553?
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 52535 and 52553 is 2760871855.
LCM(52535,52553) = 2760871855
Least Common Multiple of 52535 and 52553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52535 and 52553, than apply into the LCM equation.
GCF(52535,52553) = 1
LCM(52535,52553) = ( 52535 × 52553) / 1
LCM(52535,52553) = 2760871855 / 1
LCM(52535,52553) = 2760871855
Least Common Multiple (LCM) of 52535 and 52553 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52535 and 52553. First we will calculate the prime factors of 52535 and 52553.
Prime Factorization of 52535
Prime factors of 52535 are 5, 7, 19, 79. Prime factorization of 52535 in exponential form is:
52535 = 51 × 71 × 191 × 791
Prime Factorization of 52553
Prime factors of 52553 are 52553. Prime factorization of 52553 in exponential form is:
52553 = 525531
Now multiplying the highest exponent prime factors to calculate the LCM of 52535 and 52553.
LCM(52535,52553) = 51 × 71 × 191 × 791 × 525531
LCM(52535,52553) = 2760871855
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