What is the Least Common Multiple of 52565 and 52571?
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 52565 and 52571 is 2763394615.
LCM(52565,52571) = 2763394615
Least Common Multiple of 52565 and 52571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52565 and 52571, than apply into the LCM equation.
GCF(52565,52571) = 1
LCM(52565,52571) = ( 52565 × 52571) / 1
LCM(52565,52571) = 2763394615 / 1
LCM(52565,52571) = 2763394615
Least Common Multiple (LCM) of 52565 and 52571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52565 and 52571. First we will calculate the prime factors of 52565 and 52571.
Prime Factorization of 52565
Prime factors of 52565 are 5, 10513. Prime factorization of 52565 in exponential form is:
52565 = 51 × 105131
Prime Factorization of 52571
Prime factors of 52571 are 52571. Prime factorization of 52571 in exponential form is:
52571 = 525711
Now multiplying the highest exponent prime factors to calculate the LCM of 52565 and 52571.
LCM(52565,52571) = 51 × 105131 × 525711
LCM(52565,52571) = 2763394615
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