What is the Least Common Multiple of 12143 and 12153?
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 12143 and 12153 is 147573879.
LCM(12143,12153) = 147573879
Least Common Multiple of 12143 and 12153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12143 and 12153, than apply into the LCM equation.
GCF(12143,12153) = 1
LCM(12143,12153) = ( 12143 × 12153) / 1
LCM(12143,12153) = 147573879 / 1
LCM(12143,12153) = 147573879
Least Common Multiple (LCM) of 12143 and 12153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12143 and 12153. First we will calculate the prime factors of 12143 and 12153.
Prime Factorization of 12143
Prime factors of 12143 are 12143. Prime factorization of 12143 in exponential form is:
12143 = 121431
Prime Factorization of 12153
Prime factors of 12153 are 3, 4051. Prime factorization of 12153 in exponential form is:
12153 = 31 × 40511
Now multiplying the highest exponent prime factors to calculate the LCM of 12143 and 12153.
LCM(12143,12153) = 121431 × 31 × 40511
LCM(12143,12153) = 147573879
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