What is the Least Common Multiple of 12433 and 12450?
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 12433 and 12450 is 154790850.
LCM(12433,12450) = 154790850
Least Common Multiple of 12433 and 12450 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12433 and 12450, than apply into the LCM equation.
GCF(12433,12450) = 1
LCM(12433,12450) = ( 12433 × 12450) / 1
LCM(12433,12450) = 154790850 / 1
LCM(12433,12450) = 154790850
Least Common Multiple (LCM) of 12433 and 12450 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12433 and 12450. First we will calculate the prime factors of 12433 and 12450.
Prime Factorization of 12433
Prime factors of 12433 are 12433. Prime factorization of 12433 in exponential form is:
12433 = 124331
Prime Factorization of 12450
Prime factors of 12450 are 2, 3, 5, 83. Prime factorization of 12450 in exponential form is:
12450 = 21 × 31 × 52 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 12433 and 12450.
LCM(12433,12450) = 124331 × 21 × 31 × 52 × 831
LCM(12433,12450) = 154790850
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