What is the Least Common Multiple of 10531 and 10547?
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 10531 and 10547 is 111070457.
LCM(10531,10547) = 111070457
Least Common Multiple of 10531 and 10547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10531 and 10547, than apply into the LCM equation.
GCF(10531,10547) = 1
LCM(10531,10547) = ( 10531 × 10547) / 1
LCM(10531,10547) = 111070457 / 1
LCM(10531,10547) = 111070457
Least Common Multiple (LCM) of 10531 and 10547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10531 and 10547. First we will calculate the prime factors of 10531 and 10547.
Prime Factorization of 10531
Prime factors of 10531 are 10531. Prime factorization of 10531 in exponential form is:
10531 = 105311
Prime Factorization of 10547
Prime factors of 10547 are 53, 199. Prime factorization of 10547 in exponential form is:
10547 = 531 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 10531 and 10547.
LCM(10531,10547) = 105311 × 531 × 1991
LCM(10531,10547) = 111070457
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