What is the Least Common Multiple of 12447 and 12455?
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 12447 and 12455 is 155027385.
LCM(12447,12455) = 155027385
Least Common Multiple of 12447 and 12455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12447 and 12455, than apply into the LCM equation.
GCF(12447,12455) = 1
LCM(12447,12455) = ( 12447 × 12455) / 1
LCM(12447,12455) = 155027385 / 1
LCM(12447,12455) = 155027385
Least Common Multiple (LCM) of 12447 and 12455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12447 and 12455. First we will calculate the prime factors of 12447 and 12455.
Prime Factorization of 12447
Prime factors of 12447 are 3, 461. Prime factorization of 12447 in exponential form is:
12447 = 33 × 4611
Prime Factorization of 12455
Prime factors of 12455 are 5, 47, 53. Prime factorization of 12455 in exponential form is:
12455 = 51 × 471 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 12447 and 12455.
LCM(12447,12455) = 33 × 4611 × 51 × 471 × 531
LCM(12447,12455) = 155027385
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