What is the Least Common Multiple of 24427 and 24446?
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 24427 and 24446 is 597142442.
LCM(24427,24446) = 597142442
Least Common Multiple of 24427 and 24446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24427 and 24446, than apply into the LCM equation.
GCF(24427,24446) = 1
LCM(24427,24446) = ( 24427 × 24446) / 1
LCM(24427,24446) = 597142442 / 1
LCM(24427,24446) = 597142442
Least Common Multiple (LCM) of 24427 and 24446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24427 and 24446. First we will calculate the prime factors of 24427 and 24446.
Prime Factorization of 24427
Prime factors of 24427 are 13, 1879. Prime factorization of 24427 in exponential form is:
24427 = 131 × 18791
Prime Factorization of 24446
Prime factors of 24446 are 2, 17, 719. Prime factorization of 24446 in exponential form is:
24446 = 21 × 171 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 24427 and 24446.
LCM(24427,24446) = 131 × 18791 × 21 × 171 × 7191
LCM(24427,24446) = 597142442
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