What is the Least Common Multiple of 95433 and 95439?
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 95433 and 95439 is 3036010029.
LCM(95433,95439) = 3036010029
Least Common Multiple of 95433 and 95439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95433 and 95439, than apply into the LCM equation.
GCF(95433,95439) = 3
LCM(95433,95439) = ( 95433 × 95439) / 3
LCM(95433,95439) = 9108030087 / 3
LCM(95433,95439) = 3036010029
Least Common Multiple (LCM) of 95433 and 95439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95433 and 95439. First we will calculate the prime factors of 95433 and 95439.
Prime Factorization of 95433
Prime factors of 95433 are 3, 13, 2447. Prime factorization of 95433 in exponential form is:
95433 = 31 × 131 × 24471
Prime Factorization of 95439
Prime factors of 95439 are 3, 29, 1097. Prime factorization of 95439 in exponential form is:
95439 = 31 × 291 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 95433 and 95439.
LCM(95433,95439) = 31 × 131 × 24471 × 291 × 10971
LCM(95433,95439) = 3036010029
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