What is the Least Common Multiple of 65447 and 65455?
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 65447 and 65455 is 4283833385.
LCM(65447,65455) = 4283833385
Least Common Multiple of 65447 and 65455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65447 and 65455, than apply into the LCM equation.
GCF(65447,65455) = 1
LCM(65447,65455) = ( 65447 × 65455) / 1
LCM(65447,65455) = 4283833385 / 1
LCM(65447,65455) = 4283833385
Least Common Multiple (LCM) of 65447 and 65455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65447 and 65455. First we will calculate the prime factors of 65447 and 65455.
Prime Factorization of 65447
Prime factors of 65447 are 65447. Prime factorization of 65447 in exponential form is:
65447 = 654471
Prime Factorization of 65455
Prime factors of 65455 are 5, 13, 19, 53. Prime factorization of 65455 in exponential form is:
65455 = 51 × 131 × 191 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 65447 and 65455.
LCM(65447,65455) = 654471 × 51 × 131 × 191 × 531
LCM(65447,65455) = 4283833385
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