What is the Least Common Multiple of 52406 and 52411?
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 52406 and 52411 is 2746650866.
LCM(52406,52411) = 2746650866
Least Common Multiple of 52406 and 52411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52406 and 52411, than apply into the LCM equation.
GCF(52406,52411) = 1
LCM(52406,52411) = ( 52406 × 52411) / 1
LCM(52406,52411) = 2746650866 / 1
LCM(52406,52411) = 2746650866
Least Common Multiple (LCM) of 52406 and 52411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52406 and 52411. First we will calculate the prime factors of 52406 and 52411.
Prime Factorization of 52406
Prime factors of 52406 are 2, 26203. Prime factorization of 52406 in exponential form is:
52406 = 21 × 262031
Prime Factorization of 52411
Prime factors of 52411 are 17, 3083. Prime factorization of 52411 in exponential form is:
52411 = 171 × 30831
Now multiplying the highest exponent prime factors to calculate the LCM of 52406 and 52411.
LCM(52406,52411) = 21 × 262031 × 171 × 30831
LCM(52406,52411) = 2746650866
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