What is the Least Common Multiple of 2531 and 2535?
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 2531 and 2535 is 6416085.
LCM(2531,2535) = 6416085
Least Common Multiple of 2531 and 2535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2531 and 2535, than apply into the LCM equation.
GCF(2531,2535) = 1
LCM(2531,2535) = ( 2531 × 2535) / 1
LCM(2531,2535) = 6416085 / 1
LCM(2531,2535) = 6416085
Least Common Multiple (LCM) of 2531 and 2535 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2531 and 2535. First we will calculate the prime factors of 2531 and 2535.
Prime Factorization of 2531
Prime factors of 2531 are 2531. Prime factorization of 2531 in exponential form is:
2531 = 25311
Prime Factorization of 2535
Prime factors of 2535 are 3, 5, 13. Prime factorization of 2535 in exponential form is:
2535 = 31 × 51 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 2531 and 2535.
LCM(2531,2535) = 25311 × 31 × 51 × 132
LCM(2531,2535) = 6416085
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