What is the Least Common Multiple of 24410 and 24427?
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 24410 and 24427 is 596263070.
LCM(24410,24427) = 596263070
Least Common Multiple of 24410 and 24427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24410 and 24427, than apply into the LCM equation.
GCF(24410,24427) = 1
LCM(24410,24427) = ( 24410 × 24427) / 1
LCM(24410,24427) = 596263070 / 1
LCM(24410,24427) = 596263070
Least Common Multiple (LCM) of 24410 and 24427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24410 and 24427. First we will calculate the prime factors of 24410 and 24427.
Prime Factorization of 24410
Prime factors of 24410 are 2, 5, 2441. Prime factorization of 24410 in exponential form is:
24410 = 21 × 51 × 24411
Prime Factorization of 24427
Prime factors of 24427 are 13, 1879. Prime factorization of 24427 in exponential form is:
24427 = 131 × 18791
Now multiplying the highest exponent prime factors to calculate the LCM of 24410 and 24427.
LCM(24410,24427) = 21 × 51 × 24411 × 131 × 18791
LCM(24410,24427) = 596263070
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