What is the Least Common Multiple of 12422 and 12429?
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 12422 and 12429 is 154393038.
LCM(12422,12429) = 154393038
Least Common Multiple of 12422 and 12429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12422 and 12429, than apply into the LCM equation.
GCF(12422,12429) = 1
LCM(12422,12429) = ( 12422 × 12429) / 1
LCM(12422,12429) = 154393038 / 1
LCM(12422,12429) = 154393038
Least Common Multiple (LCM) of 12422 and 12429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12422 and 12429. First we will calculate the prime factors of 12422 and 12429.
Prime Factorization of 12422
Prime factors of 12422 are 2, 6211. Prime factorization of 12422 in exponential form is:
12422 = 21 × 62111
Prime Factorization of 12429
Prime factors of 12429 are 3, 1381. Prime factorization of 12429 in exponential form is:
12429 = 32 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 12422 and 12429.
LCM(12422,12429) = 21 × 62111 × 32 × 13811
LCM(12422,12429) = 154393038
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