What is the Least Common Multiple of 12467 and 12471?
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 12467 and 12471 is 155475957.
LCM(12467,12471) = 155475957
Least Common Multiple of 12467 and 12471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12467 and 12471, than apply into the LCM equation.
GCF(12467,12471) = 1
LCM(12467,12471) = ( 12467 × 12471) / 1
LCM(12467,12471) = 155475957 / 1
LCM(12467,12471) = 155475957
Least Common Multiple (LCM) of 12467 and 12471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12467 and 12471. First we will calculate the prime factors of 12467 and 12471.
Prime Factorization of 12467
Prime factors of 12467 are 7, 13, 137. Prime factorization of 12467 in exponential form is:
12467 = 71 × 131 × 1371
Prime Factorization of 12471
Prime factors of 12471 are 3, 4157. Prime factorization of 12471 in exponential form is:
12471 = 31 × 41571
Now multiplying the highest exponent prime factors to calculate the LCM of 12467 and 12471.
LCM(12467,12471) = 71 × 131 × 1371 × 31 × 41571
LCM(12467,12471) = 155475957
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